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Finding the Fourth Proportional to 153,699.73, 230,583.71 and 47,098.46

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Solution

The fourth proportional to 153,699.73, 230,583.71 and 47,098.46 is: 70,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,699.73 : 230,583.71 = 47,098.46 : x
  2. Step 2: Convert to fraction form
    153,699.73/230,583.71 = 47,098.46/x
  3. Step 3: Cross multiply
    153,699.73x = 230,583.71 × 47,098.46
  4. Step 4: Simplify right side
    153,699.73x = 10,860,138,336.29
  5. Step 5: Solve for x
    x = 10,860,138,336.29/153,699.73
  6. Step 6: Final answer
    x = 70,658.15

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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.