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Finding the Fourth Proportional to 242,386.56, 363,411.12 and 107,377.32

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Solution

The fourth proportional to 242,386.56, 363,411.12 and 107,377.32 is: 160,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,386.56 : 363,411.12 = 107,377.32 : x
  2. Step 2: Convert to fraction form
    242,386.56/363,411.12 = 107,377.32/x
  3. Step 3: Cross multiply
    242,386.56x = 363,411.12 × 107,377.32
  4. Step 4: Simplify right side
    242,386.56x = 39,022,112,123.80
  5. Step 5: Solve for x
    x = 39,022,112,123.80/242,386.56
  6. Step 6: Final answer
    x = 160,991.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.