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Finding the Fourth Proportional to 146,061.12, 201,564.48 and 78,993.12

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Solution

The fourth proportional to 146,061.12, 201,564.48 and 78,993.12 is: 109,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,061.12 : 201,564.48 = 78,993.12 : x
  2. Step 2: Convert to fraction form
    146,061.12/201,564.48 = 78,993.12/x
  3. Step 3: Cross multiply
    146,061.12x = 201,564.48 × 78,993.12
  4. Step 4: Simplify right side
    146,061.12x = 15,922,207,156.38
  5. Step 5: Solve for x
    x = 15,922,207,156.38/146,061.12
  6. Step 6: Final answer
    x = 109,010.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.