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Finding the Fourth Proportional to 120,864.30, 181,296.45 and 118,272.30

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Solution

The fourth proportional to 120,864.30, 181,296.45 and 118,272.30 is: 177,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,864.30 : 181,296.45 = 118,272.30 : x
  2. Step 2: Convert to fraction form
    120,864.30/181,296.45 = 118,272.30/x
  3. Step 3: Cross multiply
    120,864.30x = 181,296.45 × 118,272.30
  4. Step 4: Simplify right side
    120,864.30x = 21,442,348,123.34
  5. Step 5: Solve for x
    x = 21,442,348,123.34/120,864.30
  6. Step 6: Final answer
    x = 177,408.45

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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.