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Finding the Fourth Proportional to 92,214.80, 138,322.20 and 82,365.20

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Solution

The fourth proportional to 92,214.80, 138,322.20 and 82,365.20 is: 123,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,214.80 : 138,322.20 = 82,365.20 : x
  2. Step 2: Convert to fraction form
    92,214.80/138,322.20 = 82,365.20/x
  3. Step 3: Cross multiply
    92,214.80x = 138,322.20 × 82,365.20
  4. Step 4: Simplify right side
    92,214.80x = 11,392,935,667.44
  5. Step 5: Solve for x
    x = 11,392,935,667.44/92,214.80
  6. Step 6: Final answer
    x = 123,547.80

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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.