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Finding the Fourth Proportional to 160,774.74, 221,881.68 and 89,168.76

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Solution

The fourth proportional to 160,774.74, 221,881.68 and 89,168.76 is: 123,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,774.74 : 221,881.68 = 89,168.76 : x
  2. Step 2: Convert to fraction form
    160,774.74/221,881.68 = 89,168.76/x
  3. Step 3: Cross multiply
    160,774.74x = 221,881.68 × 89,168.76
  4. Step 4: Simplify right side
    160,774.74x = 19,784,914,272.32
  5. Step 5: Solve for x
    x = 19,784,914,272.32/160,774.74
  6. Step 6: Final answer
    x = 123,059.84

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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.