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Finding the Fourth Proportional to 205,038.20, 307,557.30 and 94,446.20

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Solution

The fourth proportional to 205,038.20, 307,557.30 and 94,446.20 is: 141,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,038.20 : 307,557.30 = 94,446.20 : x
  2. Step 2: Convert to fraction form
    205,038.20/307,557.30 = 94,446.20/x
  3. Step 3: Cross multiply
    205,038.20x = 307,557.30 × 94,446.20
  4. Step 4: Simplify right side
    205,038.20x = 29,047,618,267.26
  5. Step 5: Solve for x
    x = 29,047,618,267.26/205,038.20
  6. Step 6: Final answer
    x = 141,669.30

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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.