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Finding the Fourth Proportional to 97,714.80, 146,458.80 and 45,129.60

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Solution

The fourth proportional to 97,714.80, 146,458.80 and 45,129.60 is: 67,642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714.80 : 146,458.80 = 45,129.60 : x
  2. Step 2: Convert to fraction form
    97,714.80/146,458.80 = 45,129.60/x
  3. Step 3: Cross multiply
    97,714.80x = 146,458.80 × 45,129.60
  4. Step 4: Simplify right side
    97,714.80x = 6,609,627,060.48
  5. Step 5: Solve for x
    x = 6,609,627,060.48/97,714.80
  6. Step 6: Final answer
    x = 67,642.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.