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Finding the Fourth Proportional to 157,300.76, 217,080.06 and 85,683.08

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Solution

The fourth proportional to 157,300.76, 217,080.06 and 85,683.08 is: 118,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,300.76 : 217,080.06 = 85,683.08 : x
  2. Step 2: Convert to fraction form
    157,300.76/217,080.06 = 85,683.08/x
  3. Step 3: Cross multiply
    157,300.76x = 217,080.06 × 85,683.08
  4. Step 4: Simplify right side
    157,300.76x = 18,600,088,147.38
  5. Step 5: Solve for x
    x = 18,600,088,147.38/157,300.76
  6. Step 6: Final answer
    x = 118,245.38

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Why These Related Problems?

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