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Finding the Fourth Proportional to 224,809.78, 310,382.13 and 144,272.02

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Solution

The fourth proportional to 224,809.78, 310,382.13 and 144,272.02 is: 199,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,809.78 : 310,382.13 = 144,272.02 : x
  2. Step 2: Convert to fraction form
    224,809.78/310,382.13 = 144,272.02/x
  3. Step 3: Cross multiply
    224,809.78x = 310,382.13 × 144,272.02
  4. Step 4: Simplify right side
    224,809.78x = 44,779,456,867.00
  5. Step 5: Solve for x
    x = 44,779,456,867.00/224,809.78
  6. Step 6: Final answer
    x = 199,188.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.