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Finding the Fourth Proportional to 274,392.92, 411,547.76 and 74,729.03

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Solution

The fourth proportional to 274,392.92, 411,547.76 and 74,729.03 is: 112,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,392.92 : 411,547.76 = 74,729.03 : x
  2. Step 2: Convert to fraction form
    274,392.92/411,547.76 = 74,729.03/x
  3. Step 3: Cross multiply
    274,392.92x = 411,547.76 × 74,729.03
  4. Step 4: Simplify right side
    274,392.92x = 30,754,564,903.47
  5. Step 5: Solve for x
    x = 30,754,564,903.47/274,392.92
  6. Step 6: Final answer
    x = 112,082.21

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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.