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Finding the Fourth Proportional to 141,007, 194,597.34 and 81,410.20

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Solution

The fourth proportional to 141,007, 194,597.34 and 81,410.20 is: 112,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,007 : 194,597.34 = 81,410.20 : x
  2. Step 2: Convert to fraction form
    141,007/194,597.34 = 81,410.20/x
  3. Step 3: Cross multiply
    141,007x = 194,597.34 × 81,410.20
  4. Step 4: Simplify right side
    141,007x = 15,842,208,368.87
  5. Step 5: Solve for x
    x = 15,842,208,368.87/141,007
  6. Step 6: Final answer
    x = 112,350.51

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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.