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Finding the Fourth Proportional to 153,710.80, 230,566.20 and 42,902.80

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Solution

The fourth proportional to 153,710.80, 230,566.20 and 42,902.80 is: 64,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,710.80 : 230,566.20 = 42,902.80 : x
  2. Step 2: Convert to fraction form
    153,710.80/230,566.20 = 42,902.80/x
  3. Step 3: Cross multiply
    153,710.80x = 230,566.20 × 42,902.80
  4. Step 4: Simplify right side
    153,710.80x = 9,891,935,565.36
  5. Step 5: Solve for x
    x = 9,891,935,565.36/153,710.80
  6. Step 6: Final answer
    x = 64,354.20

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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.