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Finding the Fourth Proportional to 71,203.40, 106,574.70 and 65,673.80

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Solution

The fourth proportional to 71,203.40, 106,574.70 and 65,673.80 is: 98,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.40 : 106,574.70 = 65,673.80 : x
  2. Step 2: Convert to fraction form
    71,203.40/106,574.70 = 65,673.80/x
  3. Step 3: Cross multiply
    71,203.40x = 106,574.70 × 65,673.80
  4. Step 4: Simplify right side
    71,203.40x = 6,999,165,532.86
  5. Step 5: Solve for x
    x = 6,999,165,532.86/71,203.40
  6. Step 6: Final answer
    x = 98,298.19

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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.