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Finding the Fourth Proportional to 232,978.92, 349,410.60 and 99,844.08

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Solution

The fourth proportional to 232,978.92, 349,410.60 and 99,844.08 is: 149,741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,978.92 : 349,410.60 = 99,844.08 : x
  2. Step 2: Convert to fraction form
    232,978.92/349,410.60 = 99,844.08/x
  3. Step 3: Cross multiply
    232,978.92x = 349,410.60 × 99,844.08
  4. Step 4: Simplify right side
    232,978.92x = 34,886,579,899.25
  5. Step 5: Solve for x
    x = 34,886,579,899.25/232,978.92
  6. Step 6: Final answer
    x = 149,741.36

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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.