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Finding the Fourth Proportional to 157,206.14, 216,944.10 and 85,586.66

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Solution

The fourth proportional to 157,206.14, 216,944.10 and 85,586.66 is: 118,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,206.14 : 216,944.10 = 85,586.66 : x
  2. Step 2: Convert to fraction form
    157,206.14/216,944.10 = 85,586.66/x
  3. Step 3: Cross multiply
    157,206.14x = 216,944.10 × 85,586.66
  4. Step 4: Simplify right side
    157,206.14x = 18,567,520,925.71
  5. Step 5: Solve for x
    x = 18,567,520,925.71/157,206.14
  6. Step 6: Final answer
    x = 118,109.39

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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.