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Finding the Fourth Proportional to 232,486.80, 348,643.80 and 92,216.40

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Solution

The fourth proportional to 232,486.80, 348,643.80 and 92,216.40 is: 138,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,486.80 : 348,643.80 = 92,216.40 : x
  2. Step 2: Convert to fraction form
    232,486.80/348,643.80 = 92,216.40/x
  3. Step 3: Cross multiply
    232,486.80x = 348,643.80 × 92,216.40
  4. Step 4: Simplify right side
    232,486.80x = 32,150,676,118.32
  5. Step 5: Solve for x
    x = 32,150,676,118.32/232,486.80
  6. Step 6: Final answer
    x = 138,290.33

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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.