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Finding the Fourth Proportional to 157,303.17, 217,080.27 and 85,683.78

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Solution

The fourth proportional to 157,303.17, 217,080.27 and 85,683.78 is: 118,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,303.17 : 217,080.27 = 85,683.78 : x
  2. Step 2: Convert to fraction form
    157,303.17/217,080.27 = 85,683.78/x
  3. Step 3: Cross multiply
    157,303.17x = 217,080.27 × 85,683.78
  4. Step 4: Simplify right side
    157,303.17x = 18,600,258,097.02
  5. Step 5: Solve for x
    x = 18,600,258,097.02/157,303.17
  6. Step 6: Final answer
    x = 118,244.65

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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.