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Finding the Fourth Proportional to 232,138.44, 348,114.78 and 99,078.12

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Solution

The fourth proportional to 232,138.44, 348,114.78 and 99,078.12 is: 148,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,138.44 : 348,114.78 = 99,078.12 : x
  2. Step 2: Convert to fraction form
    232,138.44/348,114.78 = 99,078.12/x
  3. Step 3: Cross multiply
    232,138.44x = 348,114.78 × 99,078.12
  4. Step 4: Simplify right side
    232,138.44x = 34,490,557,946.61
  5. Step 5: Solve for x
    x = 34,490,557,946.61/232,138.44
  6. Step 6: Final answer
    x = 148,577.54

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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.