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Finding the Fourth Proportional to 112,414.52, 155,204.35 and 72,145.64

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Solution

The fourth proportional to 112,414.52, 155,204.35 and 72,145.64 is: 99,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,414.52 : 155,204.35 = 72,145.64 : x
  2. Step 2: Convert to fraction form
    112,414.52/155,204.35 = 72,145.64/x
  3. Step 3: Cross multiply
    112,414.52x = 155,204.35 × 72,145.64
  4. Step 4: Simplify right side
    112,414.52x = 11,197,316,385.51
  5. Step 5: Solve for x
    x = 11,197,316,385.51/112,414.52
  6. Step 6: Final answer
    x = 99,607.39

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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.