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Finding the Fourth Proportional to 160,382.80, 240,094.88 and 97,011.14

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Solution

The fourth proportional to 160,382.80, 240,094.88 and 97,011.14 is: 145,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,382.80 : 240,094.88 = 97,011.14 : x
  2. Step 2: Convert to fraction form
    160,382.80/240,094.88 = 97,011.14/x
  3. Step 3: Cross multiply
    160,382.80x = 240,094.88 × 97,011.14
  4. Step 4: Simplify right side
    160,382.80x = 23,291,877,531.91
  5. Step 5: Solve for x
    x = 23,291,877,531.91/160,382.80
  6. Step 6: Final answer
    x = 145,226.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.