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Finding the Fourth Proportional to 186,382.62, 257,241.72 and 109,897.16

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Solution

The fourth proportional to 186,382.62, 257,241.72 and 109,897.16 is: 151,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,382.62 : 257,241.72 = 109,897.16 : x
  2. Step 2: Convert to fraction form
    186,382.62/257,241.72 = 109,897.16/x
  3. Step 3: Cross multiply
    186,382.62x = 257,241.72 × 109,897.16
  4. Step 4: Simplify right side
    186,382.62x = 28,270,133,587.42
  5. Step 5: Solve for x
    x = 28,270,133,587.42/186,382.62
  6. Step 6: Final answer
    x = 151,677.95

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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.