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Finding the Fourth Proportional to 102,518.55, 153,777.83 and 102,518.55

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Solution

The fourth proportional to 102,518.55, 153,777.83 and 102,518.55 is: 153,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,518.55 : 153,777.83 = 102,518.55 : x
  2. Step 2: Convert to fraction form
    102,518.55/153,777.83 = 102,518.55/x
  3. Step 3: Cross multiply
    102,518.55x = 153,777.83 × 102,518.55
  4. Step 4: Simplify right side
    102,518.55x = 15,765,079,641.15
  5. Step 5: Solve for x
    x = 15,765,079,641.15/102,518.55
  6. Step 6: Final answer
    x = 153,777.83

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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.