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Finding the Fourth Proportional to 157,502.92, 235,991.38 and 110,671.96

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Solution

The fourth proportional to 157,502.92, 235,991.38 and 110,671.96 is: 165,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,502.92 : 235,991.38 = 110,671.96 : x
  2. Step 2: Convert to fraction form
    157,502.92/235,991.38 = 110,671.96/x
  3. Step 3: Cross multiply
    157,502.92x = 235,991.38 × 110,671.96
  4. Step 4: Simplify right side
    157,502.92x = 26,117,628,567.70
  5. Step 5: Solve for x
    x = 26,117,628,567.70/157,502.92
  6. Step 6: Final answer
    x = 165,823.14

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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.