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Finding the Fourth Proportional to 296,200.68, 408,756.98 and 167,166.66

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Solution

The fourth proportional to 296,200.68, 408,756.98 and 167,166.66 is: 230,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,200.68 : 408,756.98 = 167,166.66 : x
  2. Step 2: Convert to fraction form
    296,200.68/408,756.98 = 167,166.66/x
  3. Step 3: Cross multiply
    296,200.68x = 408,756.98 × 167,166.66
  4. Step 4: Simplify right side
    296,200.68x = 68,330,539,098.29
  5. Step 5: Solve for x
    x = 68,330,539,098.29/296,200.68
  6. Step 6: Final answer
    x = 230,690.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.