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Finding the Fourth Proportional to 105,085.20, 157,627.80 and 65,719.20

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Solution

The fourth proportional to 105,085.20, 157,627.80 and 65,719.20 is: 98,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,085.20 : 157,627.80 = 65,719.20 : x
  2. Step 2: Convert to fraction form
    105,085.20/157,627.80 = 65,719.20/x
  3. Step 3: Cross multiply
    105,085.20x = 157,627.80 × 65,719.20
  4. Step 4: Simplify right side
    105,085.20x = 10,359,172,913.76
  5. Step 5: Solve for x
    x = 10,359,172,913.76/105,085.20
  6. Step 6: Final answer
    x = 98,578.80

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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.