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Finding the Fourth Proportional to 78,178.84, 117,268.28 and 19,014.12

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Solution

The fourth proportional to 78,178.84, 117,268.28 and 19,014.12 is: 28,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,178.84 : 117,268.28 = 19,014.12 : x
  2. Step 2: Convert to fraction form
    78,178.84/117,268.28 = 19,014.12/x
  3. Step 3: Cross multiply
    78,178.84x = 117,268.28 × 19,014.12
  4. Step 4: Simplify right side
    78,178.84x = 2,229,753,148.11
  5. Step 5: Solve for x
    x = 2,229,753,148.11/78,178.84
  6. Step 6: Final answer
    x = 28,521.18

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1.5x scale

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.