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Finding the Fourth Proportional to 201,552.65, 278,142.10 and 110,914.48

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Solution

The fourth proportional to 201,552.65, 278,142.10 and 110,914.48 is: 153,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,552.65 : 278,142.10 = 110,914.48 : x
  2. Step 2: Convert to fraction form
    201,552.65/278,142.10 = 110,914.48/x
  3. Step 3: Cross multiply
    201,552.65x = 278,142.10 × 110,914.48
  4. Step 4: Simplify right side
    201,552.65x = 30,849,986,458.00
  5. Step 5: Solve for x
    x = 30,849,986,458.00/201,552.65
  6. Step 6: Final answer
    x = 153,061.68

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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.