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Finding the Fourth Proportional to 160,649.10, 221,697.54 and 89,030.52

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Solution

The fourth proportional to 160,649.10, 221,697.54 and 89,030.52 is: 122,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,649.10 : 221,697.54 = 89,030.52 : x
  2. Step 2: Convert to fraction form
    160,649.10/221,697.54 = 89,030.52/x
  3. Step 3: Cross multiply
    160,649.10x = 221,697.54 × 89,030.52
  4. Step 4: Simplify right side
    160,649.10x = 19,737,847,268.92
  5. Step 5: Solve for x
    x = 19,737,847,268.92/160,649.10
  6. Step 6: Final answer
    x = 122,863.11

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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.