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Finding the Fourth Proportional to 537,156.34, 805,730.84 and 137,797.38

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Solution

The fourth proportional to 537,156.34, 805,730.84 and 137,797.38 is: 206,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,156.34 : 805,730.84 = 137,797.38 : x
  2. Step 2: Convert to fraction form
    537,156.34/805,730.84 = 137,797.38/x
  3. Step 3: Cross multiply
    537,156.34x = 805,730.84 × 137,797.38
  4. Step 4: Simplify right side
    537,156.34x = 111,027,598,048.21
  5. Step 5: Solve for x
    x = 111,027,598,048.21/537,156.34
  6. Step 6: Final answer
    x = 206,695.13

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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.