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Finding the Fourth Proportional to 145,674.33, 201,087 and 113,853.48

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Solution

The fourth proportional to 145,674.33, 201,087 and 113,853.48 is: 157,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,674.33 : 201,087 = 113,853.48 : x
  2. Step 2: Convert to fraction form
    145,674.33/201,087 = 113,853.48/x
  3. Step 3: Cross multiply
    145,674.33x = 201,087 × 113,853.48
  4. Step 4: Simplify right side
    145,674.33x = 22,894,454,732.76
  5. Step 5: Solve for x
    x = 22,894,454,732.76/145,674.33
  6. Step 6: Final answer
    x = 157,161.90

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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.