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Finding the Fourth Proportional to 121,142.50, 181,714.55 and 42,256.42

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Solution

The fourth proportional to 121,142.50, 181,714.55 and 42,256.42 is: 63,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142.50 : 181,714.55 = 42,256.42 : x
  2. Step 2: Convert to fraction form
    121,142.50/181,714.55 = 42,256.42/x
  3. Step 3: Cross multiply
    121,142.50x = 181,714.55 × 42,256.42
  4. Step 4: Simplify right side
    121,142.50x = 7,678,606,344.91
  5. Step 5: Solve for x
    x = 7,678,606,344.91/121,142.50
  6. Step 6: Final answer
    x = 63,384.91

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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.