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Finding the Fourth Proportional to 160,709.55, 221,764.23 and 89,083.47

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Solution

The fourth proportional to 160,709.55, 221,764.23 and 89,083.47 is: 122,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,709.55 : 221,764.23 = 89,083.47 : x
  2. Step 2: Convert to fraction form
    160,709.55/221,764.23 = 89,083.47/x
  3. Step 3: Cross multiply
    160,709.55x = 221,764.23 × 89,083.47
  4. Step 4: Simplify right side
    160,709.55x = 19,755,527,130.28
  5. Step 5: Solve for x
    x = 19,755,527,130.28/160,709.55
  6. Step 6: Final answer
    x = 122,926.90

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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.