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Finding the Fourth Proportional to 232,646.40, 348,508.80 and 138,873.60

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Solution

The fourth proportional to 232,646.40, 348,508.80 and 138,873.60 is: 208,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,646.40 : 348,508.80 = 138,873.60 : x
  2. Step 2: Convert to fraction form
    232,646.40/348,508.80 = 138,873.60/x
  3. Step 3: Cross multiply
    232,646.40x = 348,508.80 × 138,873.60
  4. Step 4: Simplify right side
    232,646.40x = 48,398,671,687.68
  5. Step 5: Solve for x
    x = 48,398,671,687.68/232,646.40
  6. Step 6: Final answer
    x = 208,035.33

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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.