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Finding the Fourth Proportional to 357,016.10, 535,541.96 and 117,108.68

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Solution

The fourth proportional to 357,016.10, 535,541.96 and 117,108.68 is: 175,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,016.10 : 535,541.96 = 117,108.68 : x
  2. Step 2: Convert to fraction form
    357,016.10/535,541.96 = 117,108.68/x
  3. Step 3: Cross multiply
    357,016.10x = 535,541.96 × 117,108.68
  4. Step 4: Simplify right side
    357,016.10x = 62,716,612,020.21
  5. Step 5: Solve for x
    x = 62,716,612,020.21/357,016.10
  6. Step 6: Final answer
    x = 175,668.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.