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Finding the Fourth Proportional to 146,134.40, 201,643.84 and 88,743.86

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Solution

The fourth proportional to 146,134.40, 201,643.84 and 88,743.86 is: 122,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,134.40 : 201,643.84 = 88,743.86 : x
  2. Step 2: Convert to fraction form
    146,134.40/201,643.84 = 88,743.86/x
  3. Step 3: Cross multiply
    146,134.40x = 201,643.84 × 88,743.86
  4. Step 4: Simplify right side
    146,134.40x = 17,894,652,706.82
  5. Step 5: Solve for x
    x = 17,894,652,706.82/146,134.40
  6. Step 6: Final answer
    x = 122,453.39

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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.