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Finding the Fourth Proportional to 156,802.74, 216,387.97 and 85,182.81

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Solution

The fourth proportional to 156,802.74, 216,387.97 and 85,182.81 is: 117,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,802.74 : 216,387.97 = 85,182.81 : x
  2. Step 2: Convert to fraction form
    156,802.74/216,387.97 = 85,182.81/x
  3. Step 3: Cross multiply
    156,802.74x = 216,387.97 × 85,182.81
  4. Step 4: Simplify right side
    156,802.74x = 18,432,535,121.84
  5. Step 5: Solve for x
    x = 18,432,535,121.84/156,802.74
  6. Step 6: Final answer
    x = 117,552.38

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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.