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Finding the Fourth Proportional to 157,117.23, 216,826.34 and 85,501.87

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Solution

The fourth proportional to 157,117.23, 216,826.34 and 85,501.87 is: 117,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,117.23 : 216,826.34 = 85,501.87 : x
  2. Step 2: Convert to fraction form
    157,117.23/216,826.34 = 85,501.87/x
  3. Step 3: Cross multiply
    157,117.23x = 216,826.34 × 85,501.87
  4. Step 4: Simplify right side
    157,117.23x = 18,539,056,565.68
  5. Step 5: Solve for x
    x = 18,539,056,565.68/157,117.23
  6. Step 6: Final answer
    x = 117,995.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.