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Finding the Fourth Proportional to 137,810.25, 206,715.42 and 44,316

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Solution

The fourth proportional to 137,810.25, 206,715.42 and 44,316 is: 66,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,810.25 : 206,715.42 = 44,316 : x
  2. Step 2: Convert to fraction form
    137,810.25/206,715.42 = 44,316/x
  3. Step 3: Cross multiply
    137,810.25x = 206,715.42 × 44,316
  4. Step 4: Simplify right side
    137,810.25x = 9,160,800,552.72
  5. Step 5: Solve for x
    x = 9,160,800,552.72/137,810.25
  6. Step 6: Final answer
    x = 66,474.01

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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.