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Finding the Fourth Proportional to 97,714.40, 146,701.20 and 78,015.20

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Solution

The fourth proportional to 97,714.40, 146,701.20 and 78,015.20 is: 117,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714.40 : 146,701.20 = 78,015.20 : x
  2. Step 2: Convert to fraction form
    97,714.40/146,701.20 = 78,015.20/x
  3. Step 3: Cross multiply
    97,714.40x = 146,701.20 × 78,015.20
  4. Step 4: Simplify right side
    97,714.40x = 11,444,923,458.24
  5. Step 5: Solve for x
    x = 11,444,923,458.24/97,714.40
  6. Step 6: Final answer
    x = 117,126.27

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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.