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Finding the Fourth Proportional to 153,042.56, 229,577.04 and 42,234.56

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Solution

The fourth proportional to 153,042.56, 229,577.04 and 42,234.56 is: 63,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,042.56 : 229,577.04 = 42,234.56 : x
  2. Step 2: Convert to fraction form
    153,042.56/229,577.04 = 42,234.56/x
  3. Step 3: Cross multiply
    153,042.56x = 229,577.04 × 42,234.56
  4. Step 4: Simplify right side
    153,042.56x = 9,696,085,270.50
  5. Step 5: Solve for x
    x = 9,696,085,270.50/153,042.56
  6. Step 6: Final answer
    x = 63,355.48

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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.