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Finding the Fourth Proportional to 157,402.51, 217,215.66 and 85,782.61

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Solution

The fourth proportional to 157,402.51, 217,215.66 and 85,782.61 is: 118,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,402.51 : 217,215.66 = 85,782.61 : x
  2. Step 2: Convert to fraction form
    157,402.51/217,215.66 = 85,782.61/x
  3. Step 3: Cross multiply
    157,402.51x = 217,215.66 × 85,782.61
  4. Step 4: Simplify right side
    157,402.51x = 18,633,326,247.67
  5. Step 5: Solve for x
    x = 18,633,326,247.67/157,402.51
  6. Step 6: Final answer
    x = 118,380.11

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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.