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Finding the Fourth Proportional to 155,281.57, 232,548.50 and 105,209.85

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Solution

The fourth proportional to 155,281.57, 232,548.50 and 105,209.85 is: 157,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,281.57 : 232,548.50 = 105,209.85 : x
  2. Step 2: Convert to fraction form
    155,281.57/232,548.50 = 105,209.85/x
  3. Step 3: Cross multiply
    155,281.57x = 232,548.50 × 105,209.85
  4. Step 4: Simplify right side
    155,281.57x = 24,466,392,802.73
  5. Step 5: Solve for x
    x = 24,466,392,802.73/155,281.57
  6. Step 6: Final answer
    x = 157,561.47

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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.