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Finding the Fourth Proportional to 116,888.28, 175,315.14 and 42,999

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Solution

The fourth proportional to 116,888.28, 175,315.14 and 42,999 is: 64,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,888.28 : 175,315.14 = 42,999 : x
  2. Step 2: Convert to fraction form
    116,888.28/175,315.14 = 42,999/x
  3. Step 3: Cross multiply
    116,888.28x = 175,315.14 × 42,999
  4. Step 4: Simplify right side
    116,888.28x = 7,538,375,704.86
  5. Step 5: Solve for x
    x = 7,538,375,704.86/116,888.28
  6. Step 6: Final answer
    x = 64,492.14

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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.