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Finding the Fourth Proportional to 117,802.97, 176,719.64 and 42,911.57

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Solution

The fourth proportional to 117,802.97, 176,719.64 and 42,911.57 is: 64,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,802.97 : 176,719.64 = 42,911.57 : x
  2. Step 2: Convert to fraction form
    117,802.97/176,719.64 = 42,911.57/x
  3. Step 3: Cross multiply
    117,802.97x = 176,719.64 × 42,911.57
  4. Step 4: Simplify right side
    117,802.97x = 7,583,316,987.68
  5. Step 5: Solve for x
    x = 7,583,316,987.68/117,802.97
  6. Step 6: Final answer
    x = 64,372.88

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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.