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Finding the Fourth Proportional to 537,047.50, 805,511.06 and 137,697.66

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Solution

The fourth proportional to 537,047.50, 805,511.06 and 137,697.66 is: 206,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,047.50 : 805,511.06 = 137,697.66 : x
  2. Step 2: Convert to fraction form
    537,047.50/805,511.06 = 137,697.66/x
  3. Step 3: Cross multiply
    537,047.50x = 805,511.06 × 137,697.66
  4. Step 4: Simplify right side
    537,047.50x = 110,916,988,066.12
  5. Step 5: Solve for x
    x = 110,916,988,066.12/537,047.50
  6. Step 6: Final answer
    x = 206,531.06

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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.