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Finding the Fourth Proportional to 78,376.20, 117,564.30 and 66,566.40

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Solution

The fourth proportional to 78,376.20, 117,564.30 and 66,566.40 is: 99,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376.20 : 117,564.30 = 66,566.40 : x
  2. Step 2: Convert to fraction form
    78,376.20/117,564.30 = 66,566.40/x
  3. Step 3: Cross multiply
    78,376.20x = 117,564.30 × 66,566.40
  4. Step 4: Simplify right side
    78,376.20x = 7,825,832,219.52
  5. Step 5: Solve for x
    x = 7,825,832,219.52/78,376.20
  6. Step 6: Final answer
    x = 99,849.60

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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.