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Finding the Fourth Proportional to 126,001.60, 189,002.40 and 72,784.60

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Solution

The fourth proportional to 126,001.60, 189,002.40 and 72,784.60 is: 109,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,001.60 : 189,002.40 = 72,784.60 : x
  2. Step 2: Convert to fraction form
    126,001.60/189,002.40 = 72,784.60/x
  3. Step 3: Cross multiply
    126,001.60x = 189,002.40 × 72,784.60
  4. Step 4: Simplify right side
    126,001.60x = 13,756,464,083.04
  5. Step 5: Solve for x
    x = 13,756,464,083.04/126,001.60
  6. Step 6: Final answer
    x = 109,176.90

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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.