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Finding the Fourth Proportional to 144,061.96, 216,076.74 and 55,253.16

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Solution

The fourth proportional to 144,061.96, 216,076.74 and 55,253.16 is: 82,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,061.96 : 216,076.74 = 55,253.16 : x
  2. Step 2: Convert to fraction form
    144,061.96/216,076.74 = 55,253.16/x
  3. Step 3: Cross multiply
    144,061.96x = 216,076.74 × 55,253.16
  4. Step 4: Simplify right side
    144,061.96x = 11,938,922,687.50
  5. Step 5: Solve for x
    x = 11,938,922,687.50/144,061.96
  6. Step 6: Final answer
    x = 82,873.53

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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.