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Finding the Fourth Proportional to 261,534.60, 360,906.84 and 148,378.68

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Solution

The fourth proportional to 261,534.60, 360,906.84 and 148,378.68 is: 204,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,534.60 : 360,906.84 = 148,378.68 : x
  2. Step 2: Convert to fraction form
    261,534.60/360,906.84 = 148,378.68/x
  3. Step 3: Cross multiply
    261,534.60x = 360,906.84 × 148,378.68
  4. Step 4: Simplify right side
    261,534.60x = 53,550,880,522.17
  5. Step 5: Solve for x
    x = 53,550,880,522.17/261,534.60
  6. Step 6: Final answer
    x = 204,756.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.