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Finding the Fourth Proportional to 153,257.81, 229,772.19 and 105,737.31

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Solution

The fourth proportional to 153,257.81, 229,772.19 and 105,737.31 is: 158,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,257.81 : 229,772.19 = 105,737.31 : x
  2. Step 2: Convert to fraction form
    153,257.81/229,772.19 = 105,737.31/x
  3. Step 3: Cross multiply
    153,257.81x = 229,772.19 × 105,737.31
  4. Step 4: Simplify right side
    153,257.81x = 24,295,493,033.69
  5. Step 5: Solve for x
    x = 24,295,493,033.69/153,257.81
  6. Step 6: Final answer
    x = 158,526.95

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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.