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Finding the Fourth Proportional to 97,400.20, 146,100.30 and 77,717.20

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Solution

The fourth proportional to 97,400.20, 146,100.30 and 77,717.20 is: 116,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,400.20 : 146,100.30 = 77,717.20 : x
  2. Step 2: Convert to fraction form
    97,400.20/146,100.30 = 77,717.20/x
  3. Step 3: Cross multiply
    97,400.20x = 146,100.30 × 77,717.20
  4. Step 4: Simplify right side
    97,400.20x = 11,354,506,235.16
  5. Step 5: Solve for x
    x = 11,354,506,235.16/97,400.20
  6. Step 6: Final answer
    x = 116,575.80

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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.