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Finding the Fourth Proportional to 102,525.60, 153,788.40 and 97,687.20

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Solution

The fourth proportional to 102,525.60, 153,788.40 and 97,687.20 is: 146,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,525.60 : 153,788.40 = 97,687.20 : x
  2. Step 2: Convert to fraction form
    102,525.60/153,788.40 = 97,687.20/x
  3. Step 3: Cross multiply
    102,525.60x = 153,788.40 × 97,687.20
  4. Step 4: Simplify right side
    102,525.60x = 15,023,158,188.48
  5. Step 5: Solve for x
    x = 15,023,158,188.48/102,525.60
  6. Step 6: Final answer
    x = 146,530.80

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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.