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Finding the Fourth Proportional to 158,039.10, 218,077.56 and 94,368.24

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Solution

The fourth proportional to 158,039.10, 218,077.56 and 94,368.24 is: 130,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,039.10 : 218,077.56 = 94,368.24 : x
  2. Step 2: Convert to fraction form
    158,039.10/218,077.56 = 94,368.24/x
  3. Step 3: Cross multiply
    158,039.10x = 218,077.56 × 94,368.24
  4. Step 4: Simplify right side
    158,039.10x = 20,579,595,520.69
  5. Step 5: Solve for x
    x = 20,579,595,520.69/158,039.10
  6. Step 6: Final answer
    x = 130,218.38

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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.