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Finding the Fourth Proportional to 216,938.70, 291,934.12 and 216,938.70

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Solution

The fourth proportional to 216,938.70, 291,934.12 and 216,938.70 is: 291,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,938.70 : 291,934.12 = 216,938.70 : x
  2. Step 2: Convert to fraction form
    216,938.70/291,934.12 = 216,938.70/x
  3. Step 3: Cross multiply
    216,938.70x = 291,934.12 × 216,938.70
  4. Step 4: Simplify right side
    216,938.70x = 63,331,808,478.44
  5. Step 5: Solve for x
    x = 63,331,808,478.44/216,938.70
  6. Step 6: Final answer
    x = 291,934.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.