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Finding the Fourth Proportional to 144,061, 216,092.46 and 45,565

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Solution

The fourth proportional to 144,061, 216,092.46 and 45,565 is: 68,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,061 : 216,092.46 = 45,565 : x
  2. Step 2: Convert to fraction form
    144,061/216,092.46 = 45,565/x
  3. Step 3: Cross multiply
    144,061x = 216,092.46 × 45,565
  4. Step 4: Simplify right side
    144,061x = 9,846,252,939.90
  5. Step 5: Solve for x
    x = 9,846,252,939.90/144,061
  6. Step 6: Final answer
    x = 68,347.80

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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.