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Finding the Fourth Proportional to 153,062.64, 229,611.15 and 40,747.23

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Solution

The fourth proportional to 153,062.64, 229,611.15 and 40,747.23 is: 61,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,062.64 : 229,611.15 = 40,747.23 : x
  2. Step 2: Convert to fraction form
    153,062.64/229,611.15 = 40,747.23/x
  3. Step 3: Cross multiply
    153,062.64x = 229,611.15 × 40,747.23
  4. Step 4: Simplify right side
    153,062.64x = 9,356,018,339.61
  5. Step 5: Solve for x
    x = 9,356,018,339.61/153,062.64
  6. Step 6: Final answer
    x = 61,125.42

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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.