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Finding the Fourth Proportional to 213,411.16, 320,117.88 and 63,650.24

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Solution

The fourth proportional to 213,411.16, 320,117.88 and 63,650.24 is: 95,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,411.16 : 320,117.88 = 63,650.24 : x
  2. Step 2: Convert to fraction form
    213,411.16/320,117.88 = 63,650.24/x
  3. Step 3: Cross multiply
    213,411.16x = 320,117.88 × 63,650.24
  4. Step 4: Simplify right side
    213,411.16x = 20,375,579,890.29
  5. Step 5: Solve for x
    x = 20,375,579,890.29/213,411.16
  6. Step 6: Final answer
    x = 95,475.70

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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.