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Finding the Fourth Proportional to 242,566.62, 363,888.81 and 102,345.90

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Solution

The fourth proportional to 242,566.62, 363,888.81 and 102,345.90 is: 153,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,566.62 : 363,888.81 = 102,345.90 : x
  2. Step 2: Convert to fraction form
    242,566.62/363,888.81 = 102,345.90/x
  3. Step 3: Cross multiply
    242,566.62x = 363,888.81 × 102,345.90
  4. Step 4: Simplify right side
    242,566.62x = 37,242,527,759.38
  5. Step 5: Solve for x
    x = 37,242,527,759.38/242,566.62
  6. Step 6: Final answer
    x = 153,535.25

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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.