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Finding the Fourth Proportional to 114,432.54, 171,534.73 and 54,355.65

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Solution

The fourth proportional to 114,432.54, 171,534.73 and 54,355.65 is: 81,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,432.54 : 171,534.73 = 54,355.65 : x
  2. Step 2: Convert to fraction form
    114,432.54/171,534.73 = 54,355.65/x
  3. Step 3: Cross multiply
    114,432.54x = 171,534.73 × 54,355.65
  4. Step 4: Simplify right side
    114,432.54x = 9,323,881,746.72
  5. Step 5: Solve for x
    x = 9,323,881,746.72/114,432.54
  6. Step 6: Final answer
    x = 81,479.29

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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.