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Finding the Fourth Proportional to 201,242.68, 277,619.18 and 144,686.86

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Solution

The fourth proportional to 201,242.68, 277,619.18 and 144,686.86 is: 199,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,242.68 : 277,619.18 = 144,686.86 : x
  2. Step 2: Convert to fraction form
    201,242.68/277,619.18 = 144,686.86/x
  3. Step 3: Cross multiply
    201,242.68x = 277,619.18 × 144,686.86
  4. Step 4: Simplify right side
    201,242.68x = 40,167,847,429.97
  5. Step 5: Solve for x
    x = 40,167,847,429.97/201,242.68
  6. Step 6: Final answer
    x = 199,599.05

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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.