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Finding the Fourth Proportional to 224,918.96, 310,382.76 and 122,939.84

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Solution

The fourth proportional to 224,918.96, 310,382.76 and 122,939.84 is: 169,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,918.96 : 310,382.76 = 122,939.84 : x
  2. Step 2: Convert to fraction form
    224,918.96/310,382.76 = 122,939.84/x
  3. Step 3: Cross multiply
    224,918.96x = 310,382.76 × 122,939.84
  4. Step 4: Simplify right side
    224,918.96x = 38,158,406,853.16
  5. Step 5: Solve for x
    x = 38,158,406,853.16/224,918.96
  6. Step 6: Final answer
    x = 169,654.02

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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.