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Finding the Fourth Proportional to 195,223.73, 292,908.49 and 76,977.50

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Solution

The fourth proportional to 195,223.73, 292,908.49 and 76,977.50 is: 115,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,223.73 : 292,908.49 = 76,977.50 : x
  2. Step 2: Convert to fraction form
    195,223.73/292,908.49 = 76,977.50/x
  3. Step 3: Cross multiply
    195,223.73x = 292,908.49 × 76,977.50
  4. Step 4: Simplify right side
    195,223.73x = 22,547,361,631.99
  5. Step 5: Solve for x
    x = 22,547,361,631.99/195,223.73
  6. Step 6: Final answer
    x = 115,494.99

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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.