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Finding the Fourth Proportional to 208,320.24, 312,430.80 and 89,926.80

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Solution

The fourth proportional to 208,320.24, 312,430.80 and 89,926.80 is: 134,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,320.24 : 312,430.80 = 89,926.80 : x
  2. Step 2: Convert to fraction form
    208,320.24/312,430.80 = 89,926.80/x
  3. Step 3: Cross multiply
    208,320.24x = 312,430.80 × 89,926.80
  4. Step 4: Simplify right side
    208,320.24x = 28,095,902,065.44
  5. Step 5: Solve for x
    x = 28,095,902,065.44/208,320.24
  6. Step 6: Final answer
    x = 134,868.81

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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.