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Finding the Fourth Proportional to 156,386.88, 215,814.15 and 84,766.86

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Solution

The fourth proportional to 156,386.88, 215,814.15 and 84,766.86 is: 116,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,386.88 : 215,814.15 = 84,766.86 : x
  2. Step 2: Convert to fraction form
    156,386.88/215,814.15 = 84,766.86/x
  3. Step 3: Cross multiply
    156,386.88x = 215,814.15 × 84,766.86
  4. Step 4: Simplify right side
    156,386.88x = 18,293,887,839.07
  5. Step 5: Solve for x
    x = 18,293,887,839.07/156,386.88
  6. Step 6: Final answer
    x = 116,978.41

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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.