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Finding the Fourth Proportional to 78,102.50, 117,129.54 and 28,176.11

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Solution

The fourth proportional to 78,102.50, 117,129.54 and 28,176.11 is: 42,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,102.50 : 117,129.54 = 28,176.11 : x
  2. Step 2: Convert to fraction form
    78,102.50/117,129.54 = 28,176.11/x
  3. Step 3: Cross multiply
    78,102.50x = 117,129.54 × 28,176.11
  4. Step 4: Simplify right side
    78,102.50x = 3,300,255,096.11
  5. Step 5: Solve for x
    x = 3,300,255,096.11/78,102.50
  6. Step 6: Final answer
    x = 42,255.43

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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.