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Finding the Fourth Proportional to 157,208.39, 216,948.58 and 85,589.16

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Solution

The fourth proportional to 157,208.39, 216,948.58 and 85,589.16 is: 118,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,208.39 : 216,948.58 = 85,589.16 : x
  2. Step 2: Convert to fraction form
    157,208.39/216,948.58 = 85,589.16/x
  3. Step 3: Cross multiply
    157,208.39x = 216,948.58 × 85,589.16
  4. Step 4: Simplify right side
    157,208.39x = 18,568,445,697.86
  5. Step 5: Solve for x
    x = 18,568,445,697.86/157,208.39
  6. Step 6: Final answer
    x = 118,113.58

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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.