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Finding the Fourth Proportional to 156,881.75, 234,948.47 and 85,698.14

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Solution

The fourth proportional to 156,881.75, 234,948.47 and 85,698.14 is: 128,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,881.75 : 234,948.47 = 85,698.14 : x
  2. Step 2: Convert to fraction form
    156,881.75/234,948.47 = 85,698.14/x
  3. Step 3: Cross multiply
    156,881.75x = 234,948.47 × 85,698.14
  4. Step 4: Simplify right side
    156,881.75x = 20,134,645,271.61
  5. Step 5: Solve for x
    x = 20,134,645,271.61/156,881.75
  6. Step 6: Final answer
    x = 128,342.82

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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.