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Finding the Fourth Proportional to 158,465.97, 218,784.24 and 141,440.58

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Solution

The fourth proportional to 158,465.97, 218,784.24 and 141,440.58 is: 195,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,465.97 : 218,784.24 = 141,440.58 : x
  2. Step 2: Convert to fraction form
    158,465.97/218,784.24 = 141,440.58/x
  3. Step 3: Cross multiply
    158,465.97x = 218,784.24 × 141,440.58
  4. Step 4: Simplify right side
    158,465.97x = 30,944,969,800.46
  5. Step 5: Solve for x
    x = 30,944,969,800.46/158,465.97
  6. Step 6: Final answer
    x = 195,278.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.