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Finding the Fourth Proportional to 242,066.78, 363,038.40 and 171,650.78

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Solution

The fourth proportional to 242,066.78, 363,038.40 and 171,650.78 is: 257,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,066.78 : 363,038.40 = 171,650.78 : x
  2. Step 2: Convert to fraction form
    242,066.78/363,038.40 = 171,650.78/x
  3. Step 3: Cross multiply
    242,066.78x = 363,038.40 × 171,650.78
  4. Step 4: Simplify right side
    242,066.78x = 62,315,822,714.76
  5. Step 5: Solve for x
    x = 62,315,822,714.76/242,066.78
  6. Step 6: Final answer
    x = 257,432.37

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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.