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Finding the Fourth Proportional to 160,296.96, 221,217.88 and 96,655.28

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Solution

The fourth proportional to 160,296.96, 221,217.88 and 96,655.28 is: 133,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,296.96 : 221,217.88 = 96,655.28 : x
  2. Step 2: Convert to fraction form
    160,296.96/221,217.88 = 96,655.28/x
  3. Step 3: Cross multiply
    160,296.96x = 221,217.88 × 96,655.28
  4. Step 4: Simplify right side
    160,296.96x = 21,381,876,132.41
  5. Step 5: Solve for x
    x = 21,381,876,132.41/160,296.96
  6. Step 6: Final answer
    x = 133,389.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.