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Finding the Fourth Proportional to 240,098.64, 360,147.95 and 82,328.46

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Solution

The fourth proportional to 240,098.64, 360,147.95 and 82,328.46 is: 123,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,098.64 : 360,147.95 = 82,328.46 : x
  2. Step 2: Convert to fraction form
    240,098.64/360,147.95 = 82,328.46/x
  3. Step 3: Cross multiply
    240,098.64x = 360,147.95 × 82,328.46
  4. Step 4: Simplify right side
    240,098.64x = 29,650,426,095.66
  5. Step 5: Solve for x
    x = 29,650,426,095.66/240,098.64
  6. Step 6: Final answer
    x = 123,492.69

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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.