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Finding the Fourth Proportional to 107,335.32, 160,793.54 and 70,287

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Solution

The fourth proportional to 107,335.32, 160,793.54 and 70,287 is: 105,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,335.32 : 160,793.54 = 70,287 : x
  2. Step 2: Convert to fraction form
    107,335.32/160,793.54 = 70,287/x
  3. Step 3: Cross multiply
    107,335.32x = 160,793.54 × 70,287
  4. Step 4: Simplify right side
    107,335.32x = 11,301,695,545.98
  5. Step 5: Solve for x
    x = 11,301,695,545.98/107,335.32
  6. Step 6: Final answer
    x = 105,293.35

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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.