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Finding the Fourth Proportional to 153,345.80, 230,105.10 and 59,839.40

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Solution

The fourth proportional to 153,345.80, 230,105.10 and 59,839.40 is: 89,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,345.80 : 230,105.10 = 59,839.40 : x
  2. Step 2: Convert to fraction form
    153,345.80/230,105.10 = 59,839.40/x
  3. Step 3: Cross multiply
    153,345.80x = 230,105.10 × 59,839.40
  4. Step 4: Simplify right side
    153,345.80x = 13,769,351,120.94
  5. Step 5: Solve for x
    x = 13,769,351,120.94/153,345.80
  6. Step 6: Final answer
    x = 89,792.82

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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.