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Finding the Fourth Proportional to 312,061.44, 468,113.12 and 109,632.93

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Solution

The fourth proportional to 312,061.44, 468,113.12 and 109,632.93 is: 164,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,061.44 : 468,113.12 = 109,632.93 : x
  2. Step 2: Convert to fraction form
    312,061.44/468,113.12 = 109,632.93/x
  3. Step 3: Cross multiply
    312,061.44x = 468,113.12 × 109,632.93
  4. Step 4: Simplify right side
    312,061.44x = 51,320,612,368.88
  5. Step 5: Solve for x
    x = 51,320,612,368.88/312,061.44
  6. Step 6: Final answer
    x = 164,456.76

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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.