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Finding the Fourth Proportional to 160,770.10, 221,874.10 and 89,156.98

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Solution

The fourth proportional to 160,770.10, 221,874.10 and 89,156.98 is: 123,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,770.10 : 221,874.10 = 89,156.98 : x
  2. Step 2: Convert to fraction form
    160,770.10/221,874.10 = 89,156.98/x
  3. Step 3: Cross multiply
    160,770.10x = 221,874.10 × 89,156.98
  4. Step 4: Simplify right side
    160,770.10x = 19,781,624,696.22
  5. Step 5: Solve for x
    x = 19,781,624,696.22/160,770.10
  6. Step 6: Final answer
    x = 123,042.93

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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.