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Finding the Fourth Proportional to 144,342.96, 216,381.96 and 55,569.84

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Solution

The fourth proportional to 144,342.96, 216,381.96 and 55,569.84 is: 83,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,342.96 : 216,381.96 = 55,569.84 : x
  2. Step 2: Convert to fraction form
    144,342.96/216,381.96 = 55,569.84/x
  3. Step 3: Cross multiply
    144,342.96x = 216,381.96 × 55,569.84
  4. Step 4: Simplify right side
    144,342.96x = 12,024,310,896.09
  5. Step 5: Solve for x
    x = 12,024,310,896.09/144,342.96
  6. Step 6: Final answer
    x = 83,303.76

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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.