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Finding the Fourth Proportional to 160,264.80, 240,656.40 and 116,200.80

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Solution

The fourth proportional to 160,264.80, 240,656.40 and 116,200.80 is: 174,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,264.80 : 240,656.40 = 116,200.80 : x
  2. Step 2: Convert to fraction form
    160,264.80/240,656.40 = 116,200.80/x
  3. Step 3: Cross multiply
    160,264.80x = 240,656.40 × 116,200.80
  4. Step 4: Simplify right side
    160,264.80x = 27,964,466,205.12
  5. Step 5: Solve for x
    x = 27,964,466,205.12/160,264.80
  6. Step 6: Final answer
    x = 174,489.13

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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.