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Finding the Fourth Proportional to 157,233.96, 216,980.06 and 85,612.68

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Solution

The fourth proportional to 157,233.96, 216,980.06 and 85,612.68 is: 118,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,233.96 : 216,980.06 = 85,612.68 : x
  2. Step 2: Convert to fraction form
    157,233.96/216,980.06 = 85,612.68/x
  3. Step 3: Cross multiply
    157,233.96x = 216,980.06 × 85,612.68
  4. Step 4: Simplify right side
    157,233.96x = 18,576,244,015.10
  5. Step 5: Solve for x
    x = 18,576,244,015.10/157,233.96
  6. Step 6: Final answer
    x = 118,143.97

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1.5x scale

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.