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Finding the Fourth Proportional to 160,698.74, 221,760.73 and 89,078.14

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Solution

The fourth proportional to 160,698.74, 221,760.73 and 89,078.14 is: 122,925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,698.74 : 221,760.73 = 89,078.14 : x
  2. Step 2: Convert to fraction form
    160,698.74/221,760.73 = 89,078.14/x
  3. Step 3: Cross multiply
    160,698.74x = 221,760.73 × 89,078.14
  4. Step 4: Simplify right side
    160,698.74x = 19,754,033,353.44
  5. Step 5: Solve for x
    x = 19,754,033,353.44/160,698.74
  6. Step 6: Final answer
    x = 122,925.88

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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.