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Finding the Fourth Proportional to 117,873.83, 176,812.57 and 65,615.47

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Solution

The fourth proportional to 117,873.83, 176,812.57 and 65,615.47 is: 98,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,873.83 : 176,812.57 = 65,615.47 : x
  2. Step 2: Convert to fraction form
    117,873.83/176,812.57 = 65,615.47/x
  3. Step 3: Cross multiply
    117,873.83x = 176,812.57 × 65,615.47
  4. Step 4: Simplify right side
    117,873.83x = 11,601,639,522.45
  5. Step 5: Solve for x
    x = 11,601,639,522.45/117,873.83
  6. Step 6: Final answer
    x = 98,424.22

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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.