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Finding the Fourth Proportional to 456,765.69, 685,194.57 and 157,206.90

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Solution

The fourth proportional to 456,765.69, 685,194.57 and 157,206.90 is: 235,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,765.69 : 685,194.57 = 157,206.90 : x
  2. Step 2: Convert to fraction form
    456,765.69/685,194.57 = 157,206.90/x
  3. Step 3: Cross multiply
    456,765.69x = 685,194.57 × 157,206.90
  4. Step 4: Simplify right side
    456,765.69x = 107,717,314,246.53
  5. Step 5: Solve for x
    x = 107,717,314,246.53/456,765.69
  6. Step 6: Final answer
    x = 235,826.19

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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.