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Finding the Fourth Proportional to 537,125.07, 805,687.81 and 137,765.81

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Solution

The fourth proportional to 537,125.07, 805,687.81 and 137,765.81 is: 206,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,125.07 : 805,687.81 = 137,765.81 : x
  2. Step 2: Convert to fraction form
    537,125.07/805,687.81 = 137,765.81/x
  3. Step 3: Cross multiply
    537,125.07x = 805,687.81 × 137,765.81
  4. Step 4: Simplify right side
    537,125.07x = 110,996,236,196.51
  5. Step 5: Solve for x
    x = 110,996,236,196.51/537,125.07
  6. Step 6: Final answer
    x = 206,648.77

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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.