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Finding the Fourth Proportional to 160,298.19, 240,531.12 and 65,598.66

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Solution

The fourth proportional to 160,298.19, 240,531.12 and 65,598.66 is: 98,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,298.19 : 240,531.12 = 65,598.66 : x
  2. Step 2: Convert to fraction form
    160,298.19/240,531.12 = 65,598.66/x
  3. Step 3: Cross multiply
    160,298.19x = 240,531.12 × 65,598.66
  4. Step 4: Simplify right side
    160,298.19x = 15,778,519,160.30
  5. Step 5: Solve for x
    x = 15,778,519,160.30/160,298.19
  6. Step 6: Final answer
    x = 98,432.30

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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.