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Finding the Fourth Proportional to 209,124.77, 313,706.05 and 59,366.57

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Solution

The fourth proportional to 209,124.77, 313,706.05 and 59,366.57 is: 89,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,124.77 : 313,706.05 = 59,366.57 : x
  2. Step 2: Convert to fraction form
    209,124.77/313,706.05 = 59,366.57/x
  3. Step 3: Cross multiply
    209,124.77x = 313,706.05 × 59,366.57
  4. Step 4: Simplify right side
    209,124.77x = 18,623,650,459.80
  5. Step 5: Solve for x
    x = 18,623,650,459.80/209,124.77
  6. Step 6: Final answer
    x = 89,055.21

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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.