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Finding the Fourth Proportional to 537,127.34, 805,691.18 and 137,768.06

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Solution

The fourth proportional to 537,127.34, 805,691.18 and 137,768.06 is: 206,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,127.34 : 805,691.18 = 137,768.06 : x
  2. Step 2: Convert to fraction form
    537,127.34/805,691.18 = 137,768.06/x
  3. Step 3: Cross multiply
    537,127.34x = 805,691.18 × 137,768.06
  4. Step 4: Simplify right side
    537,127.34x = 110,998,513,186.36
  5. Step 5: Solve for x
    x = 110,998,513,186.36/537,127.34
  6. Step 6: Final answer
    x = 206,652.14

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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.