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Finding the Fourth Proportional to 117,598.33, 176,387.09 and 42,719.12

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Solution

The fourth proportional to 117,598.33, 176,387.09 and 42,719.12 is: 64,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,598.33 : 176,387.09 = 42,719.12 : x
  2. Step 2: Convert to fraction form
    117,598.33/176,387.09 = 42,719.12/x
  3. Step 3: Cross multiply
    117,598.33x = 176,387.09 × 42,719.12
  4. Step 4: Simplify right side
    117,598.33x = 7,535,100,168.63
  5. Step 5: Solve for x
    x = 7,535,100,168.63/117,598.33
  6. Step 6: Final answer
    x = 64,074.89

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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.