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Finding the Fourth Proportional to 147,228.80, 220,953.12 and 109,365.50

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Solution

The fourth proportional to 147,228.80, 220,953.12 and 109,365.50 is: 164,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,228.80 : 220,953.12 = 109,365.50 : x
  2. Step 2: Convert to fraction form
    147,228.80/220,953.12 = 109,365.50/x
  3. Step 3: Cross multiply
    147,228.80x = 220,953.12 × 109,365.50
  4. Step 4: Simplify right side
    147,228.80x = 24,164,648,445.36
  5. Step 5: Solve for x
    x = 24,164,648,445.36/147,228.80
  6. Step 6: Final answer
    x = 164,129.90

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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.