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Finding the Fourth Proportional to 242,677.80, 363,887.10 and 102,277.80

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Solution

The fourth proportional to 242,677.80, 363,887.10 and 102,277.80 is: 153,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,677.80 : 363,887.10 = 102,277.80 : x
  2. Step 2: Convert to fraction form
    242,677.80/363,887.10 = 102,277.80/x
  3. Step 3: Cross multiply
    242,677.80x = 363,887.10 × 102,277.80
  4. Step 4: Simplify right side
    242,677.80x = 37,217,572,036.38
  5. Step 5: Solve for x
    x = 37,217,572,036.38/242,677.80
  6. Step 6: Final answer
    x = 153,362.08

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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.