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Finding the Fourth Proportional to 537,046.50, 805,509.56 and 137,696.66

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Solution

The fourth proportional to 537,046.50, 805,509.56 and 137,696.66 is: 206,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,046.50 : 805,509.56 = 137,696.66 : x
  2. Step 2: Convert to fraction form
    537,046.50/805,509.56 = 137,696.66/x
  3. Step 3: Cross multiply
    537,046.50x = 805,509.56 × 137,696.66
  4. Step 4: Simplify right side
    537,046.50x = 110,915,975,347.42
  5. Step 5: Solve for x
    x = 110,915,975,347.42/537,046.50
  6. Step 6: Final answer
    x = 206,529.55

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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.