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Finding the Fourth Proportional to 146,180.88, 201,695.40 and 85,748.40

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Solution

The fourth proportional to 146,180.88, 201,695.40 and 85,748.40 is: 118,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,180.88 : 201,695.40 = 85,748.40 : x
  2. Step 2: Convert to fraction form
    146,180.88/201,695.40 = 85,748.40/x
  3. Step 3: Cross multiply
    146,180.88x = 201,695.40 × 85,748.40
  4. Step 4: Simplify right side
    146,180.88x = 17,295,057,837.36
  5. Step 5: Solve for x
    x = 17,295,057,837.36/146,180.88
  6. Step 6: Final answer
    x = 118,312.72

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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.