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Finding the Fourth Proportional to 267,296.40, 400,663.80 and 98,709.26

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Solution

The fourth proportional to 267,296.40, 400,663.80 and 98,709.26 is: 147,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,296.40 : 400,663.80 = 98,709.26 : x
  2. Step 2: Convert to fraction form
    267,296.40/400,663.80 = 98,709.26/x
  3. Step 3: Cross multiply
    267,296.40x = 400,663.80 × 98,709.26
  4. Step 4: Simplify right side
    267,296.40x = 39,549,225,203.47
  5. Step 5: Solve for x
    x = 39,549,225,203.47/267,296.40
  6. Step 6: Final answer
    x = 147,960.19

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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.