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Finding the Fourth Proportional to 78,216, 117,325.92 and 28,300.80

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Solution

The fourth proportional to 78,216, 117,325.92 and 28,300.80 is: 42,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,216 : 117,325.92 = 28,300.80 : x
  2. Step 2: Convert to fraction form
    78,216/117,325.92 = 28,300.80/x
  3. Step 3: Cross multiply
    78,216x = 117,325.92 × 28,300.80
  4. Step 4: Simplify right side
    78,216x = 3,320,417,396.74
  5. Step 5: Solve for x
    x = 3,320,417,396.74/78,216
  6. Step 6: Final answer
    x = 42,451.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.