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Finding the Fourth Proportional to 154,652, 231,812.16 and 101,323.84

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Solution

The fourth proportional to 154,652, 231,812.16 and 101,323.84 is: 151,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,652 : 231,812.16 = 101,323.84 : x
  2. Step 2: Convert to fraction form
    154,652/231,812.16 = 101,323.84/x
  3. Step 3: Cross multiply
    154,652x = 231,812.16 × 101,323.84
  4. Step 4: Simplify right side
    154,652x = 23,488,098,209.89
  5. Step 5: Solve for x
    x = 23,488,098,209.89/154,652
  6. Step 6: Final answer
    x = 151,877.11

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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.