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Finding the Fourth Proportional to 232,775.60, 348,904.20 and 120,412.40

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Solution

The fourth proportional to 232,775.60, 348,904.20 and 120,412.40 is: 180,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,775.60 : 348,904.20 = 120,412.40 : x
  2. Step 2: Convert to fraction form
    232,775.60/348,904.20 = 120,412.40/x
  3. Step 3: Cross multiply
    232,775.60x = 348,904.20 × 120,412.40
  4. Step 4: Simplify right side
    232,775.60x = 42,012,392,092.08
  5. Step 5: Solve for x
    x = 42,012,392,092.08/232,775.60
  6. Step 6: Final answer
    x = 180,484.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.