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Finding the Fourth Proportional to 122,178.60, 183,122.10 and 51,101.10

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Solution

The fourth proportional to 122,178.60, 183,122.10 and 51,101.10 is: 76,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,178.60 : 183,122.10 = 51,101.10 : x
  2. Step 2: Convert to fraction form
    122,178.60/183,122.10 = 51,101.10/x
  3. Step 3: Cross multiply
    122,178.60x = 183,122.10 × 51,101.10
  4. Step 4: Simplify right side
    122,178.60x = 9,357,740,744.31
  5. Step 5: Solve for x
    x = 9,357,740,744.31/122,178.60
  6. Step 6: Final answer
    x = 76,590.67

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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.