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Finding the Fourth Proportional to 202,941.64, 280,040.40 and 137,397.14

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Solution

The fourth proportional to 202,941.64, 280,040.40 and 137,397.14 is: 189,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,941.64 : 280,040.40 = 137,397.14 : x
  2. Step 2: Convert to fraction form
    202,941.64/280,040.40 = 137,397.14/x
  3. Step 3: Cross multiply
    202,941.64x = 280,040.40 × 137,397.14
  4. Step 4: Simplify right side
    202,941.64x = 38,476,750,044.46
  5. Step 5: Solve for x
    x = 38,476,750,044.46/202,941.64
  6. Step 6: Final answer
    x = 189,595.15

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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.