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Finding the Fourth Proportional to 137,295.40, 205,943.10 and 43,810.60

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Solution

The fourth proportional to 137,295.40, 205,943.10 and 43,810.60 is: 65,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,295.40 : 205,943.10 = 43,810.60 : x
  2. Step 2: Convert to fraction form
    137,295.40/205,943.10 = 43,810.60/x
  3. Step 3: Cross multiply
    137,295.40x = 205,943.10 × 43,810.60
  4. Step 4: Simplify right side
    137,295.40x = 9,022,490,776.86
  5. Step 5: Solve for x
    x = 9,022,490,776.86/137,295.40
  6. Step 6: Final answer
    x = 65,715.90

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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.