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Finding the Fourth Proportional to 267,502.50, 400,970.96 and 98,914.57

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Solution

The fourth proportional to 267,502.50, 400,970.96 and 98,914.57 is: 148,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,502.50 : 400,970.96 = 98,914.57 : x
  2. Step 2: Convert to fraction form
    267,502.50/400,970.96 = 98,914.57/x
  3. Step 3: Cross multiply
    267,502.50x = 400,970.96 × 98,914.57
  4. Step 4: Simplify right side
    267,502.50x = 39,661,868,964.82
  5. Step 5: Solve for x
    x = 39,661,868,964.82/267,502.50
  6. Step 6: Final answer
    x = 148,267.28

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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.