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Finding the Fourth Proportional to 207,352, 286,180.32 and 156,963.52

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Solution

The fourth proportional to 207,352, 286,180.32 and 156,963.52 is: 216,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,352 : 286,180.32 = 156,963.52 : x
  2. Step 2: Convert to fraction form
    207,352/286,180.32 = 156,963.52/x
  3. Step 3: Cross multiply
    207,352x = 286,180.32 × 156,963.52
  4. Step 4: Simplify right side
    207,352x = 44,919,870,381.93
  5. Step 5: Solve for x
    x = 44,919,870,381.93/207,352
  6. Step 6: Final answer
    x = 216,635.82

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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.