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Finding the Fourth Proportional to 209,085.70, 313,647.98 and 59,329.66

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Solution

The fourth proportional to 209,085.70, 313,647.98 and 59,329.66 is: 89,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,085.70 : 313,647.98 = 59,329.66 : x
  2. Step 2: Convert to fraction form
    209,085.70/313,647.98 = 59,329.66/x
  3. Step 3: Cross multiply
    209,085.70x = 313,647.98 × 59,329.66
  4. Step 4: Simplify right side
    209,085.70x = 18,608,628,013.09
  5. Step 5: Solve for x
    x = 18,608,628,013.09/209,085.70
  6. Step 6: Final answer
    x = 89,000.00

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1.5x scale

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.