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Finding the Fourth Proportional to 144,492.60, 216,738.90 and 51,007.80

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Solution

The fourth proportional to 144,492.60, 216,738.90 and 51,007.80 is: 76,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,492.60 : 216,738.90 = 51,007.80 : x
  2. Step 2: Convert to fraction form
    144,492.60/216,738.90 = 51,007.80/x
  3. Step 3: Cross multiply
    144,492.60x = 216,738.90 × 51,007.80
  4. Step 4: Simplify right side
    144,492.60x = 11,055,374,463.42
  5. Step 5: Solve for x
    x = 11,055,374,463.42/144,492.60
  6. Step 6: Final answer
    x = 76,511.70

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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.