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Finding the Fourth Proportional to 537,036.38, 805,494.43 and 137,686.53

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Solution

The fourth proportional to 537,036.38, 805,494.43 and 137,686.53 is: 206,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,036.38 : 805,494.43 = 137,686.53 : x
  2. Step 2: Convert to fraction form
    537,036.38/805,494.43 = 137,686.53/x
  3. Step 3: Cross multiply
    537,036.38x = 805,494.43 × 137,686.53
  4. Step 4: Simplify right side
    537,036.38x = 110,905,735,419.25
  5. Step 5: Solve for x
    x = 110,905,735,419.25/537,036.38
  6. Step 6: Final answer
    x = 206,514.38

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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.