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Finding the Fourth Proportional to 157,842.17, 217,818.60 and 86,222.51

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Solution

The fourth proportional to 157,842.17, 217,818.60 and 86,222.51 is: 118,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,842.17 : 217,818.60 = 86,222.51 : x
  2. Step 2: Convert to fraction form
    157,842.17/217,818.60 = 86,222.51/x
  3. Step 3: Cross multiply
    157,842.17x = 217,818.60 × 86,222.51
  4. Step 4: Simplify right side
    157,842.17x = 18,780,866,416.69
  5. Step 5: Solve for x
    x = 18,780,866,416.69/157,842.17
  6. Step 6: Final answer
    x = 118,985.10

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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.