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Finding the Fourth Proportional to 313,121.69, 469,707.89 and 88,483.98

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Solution

The fourth proportional to 313,121.69, 469,707.89 and 88,483.98 is: 132,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,121.69 : 469,707.89 = 88,483.98 : x
  2. Step 2: Convert to fraction form
    313,121.69/469,707.89 = 88,483.98/x
  3. Step 3: Cross multiply
    313,121.69x = 469,707.89 × 88,483.98
  4. Step 4: Simplify right side
    313,121.69x = 41,561,623,102.18
  5. Step 5: Solve for x
    x = 41,561,623,102.18/313,121.69
  6. Step 6: Final answer
    x = 132,733.14

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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.