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Finding the Fourth Proportional to 252,111.10, 378,166.65 and 195,030.40

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Solution

The fourth proportional to 252,111.10, 378,166.65 and 195,030.40 is: 292,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,111.10 : 378,166.65 = 195,030.40 : x
  2. Step 2: Convert to fraction form
    252,111.10/378,166.65 = 195,030.40/x
  3. Step 3: Cross multiply
    252,111.10x = 378,166.65 × 195,030.40
  4. Step 4: Simplify right side
    252,111.10x = 73,753,993,016.16
  5. Step 5: Solve for x
    x = 73,753,993,016.16/252,111.10
  6. Step 6: Final answer
    x = 292,545.60

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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.