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Finding the Fourth Proportional to 78,523.20, 117,655.20 and 66,859.20

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Solution

The fourth proportional to 78,523.20, 117,655.20 and 66,859.20 is: 100,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,523.20 : 117,655.20 = 66,859.20 : x
  2. Step 2: Convert to fraction form
    78,523.20/117,655.20 = 66,859.20/x
  3. Step 3: Cross multiply
    78,523.20x = 117,655.20 × 66,859.20
  4. Step 4: Simplify right side
    78,523.20x = 7,866,332,547.84
  5. Step 5: Solve for x
    x = 7,866,332,547.84/78,523.20
  6. Step 6: Final answer
    x = 100,178.45

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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.