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Finding the Fourth Proportional to 205,082.40, 307,382.40 and 92,631.36

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Solution

The fourth proportional to 205,082.40, 307,382.40 and 92,631.36 is: 138,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,082.40 : 307,382.40 = 92,631.36 : x
  2. Step 2: Convert to fraction form
    205,082.40/307,382.40 = 92,631.36/x
  3. Step 3: Cross multiply
    205,082.40x = 307,382.40 × 92,631.36
  4. Step 4: Simplify right side
    205,082.40x = 28,473,249,752.06
  5. Step 5: Solve for x
    x = 28,473,249,752.06/205,082.40
  6. Step 6: Final answer
    x = 138,838.10

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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.