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Finding the Fourth Proportional to 224,535.64, 309,812.93 and 129,023.88

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Solution

The fourth proportional to 224,535.64, 309,812.93 and 129,023.88 is: 178,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,535.64 : 309,812.93 = 129,023.88 : x
  2. Step 2: Convert to fraction form
    224,535.64/309,812.93 = 129,023.88/x
  3. Step 3: Cross multiply
    224,535.64x = 309,812.93 × 129,023.88
  4. Step 4: Simplify right side
    224,535.64x = 39,973,266,302.77
  5. Step 5: Solve for x
    x = 39,973,266,302.77/224,535.64
  6. Step 6: Final answer
    x = 178,026.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.