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Finding the Fourth Proportional to 117,301.90, 175,915.69 and 42,412.13

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Solution

The fourth proportional to 117,301.90, 175,915.69 and 42,412.13 is: 63,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,301.90 : 175,915.69 = 42,412.13 : x
  2. Step 2: Convert to fraction form
    117,301.90/175,915.69 = 42,412.13/x
  3. Step 3: Cross multiply
    117,301.90x = 175,915.69 × 42,412.13
  4. Step 4: Simplify right side
    117,301.90x = 7,460,959,447.08
  5. Step 5: Solve for x
    x = 7,460,959,447.08/117,301.90
  6. Step 6: Final answer
    x = 63,604.76

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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.