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Finding the Fourth Proportional to 153,713.61, 230,561.10 and 57,631.86

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Solution

The fourth proportional to 153,713.61, 230,561.10 and 57,631.86 is: 86,444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,713.61 : 230,561.10 = 57,631.86 : x
  2. Step 2: Convert to fraction form
    153,713.61/230,561.10 = 57,631.86/x
  3. Step 3: Cross multiply
    153,713.61x = 230,561.10 × 57,631.86
  4. Step 4: Simplify right side
    153,713.61x = 13,287,665,036.65
  5. Step 5: Solve for x
    x = 13,287,665,036.65/153,713.61
  6. Step 6: Final answer
    x = 86,444.30

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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.