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Finding the Fourth Proportional to 160,045.34, 240,016.74 and 89,002.00

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Solution

The fourth proportional to 160,045.34, 240,016.74 and 89,002.00 is: 133,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,045.34 : 240,016.74 = 89,002.00 : x
  2. Step 2: Convert to fraction form
    160,045.34/240,016.74 = 89,002.00/x
  3. Step 3: Cross multiply
    160,045.34x = 240,016.74 × 89,002.00
  4. Step 4: Simplify right side
    160,045.34x = 21,361,969,859.74
  5. Step 5: Solve for x
    x = 21,361,969,859.74/160,045.34
  6. Step 6: Final answer
    x = 133,474.49

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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.