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Finding the Fourth Proportional to 500,131.76, 750,275.40 and 167,630

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Solution

The fourth proportional to 500,131.76, 750,275.40 and 167,630 is: 251,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,131.76 : 750,275.40 = 167,630 : x
  2. Step 2: Convert to fraction form
    500,131.76/750,275.40 = 167,630/x
  3. Step 3: Cross multiply
    500,131.76x = 750,275.40 × 167,630
  4. Step 4: Simplify right side
    500,131.76x = 125,768,665,302
  5. Step 5: Solve for x
    x = 125,768,665,302/500,131.76
  6. Step 6: Final answer
    x = 251,471.06

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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.