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Finding the Fourth Proportional to 209,563.47, 314,348.09 and 59,803.70

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Solution

The fourth proportional to 209,563.47, 314,348.09 and 59,803.70 is: 89,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,563.47 : 314,348.09 = 59,803.70 : x
  2. Step 2: Convert to fraction form
    209,563.47/314,348.09 = 59,803.70/x
  3. Step 3: Cross multiply
    209,563.47x = 314,348.09 × 59,803.70
  4. Step 4: Simplify right side
    209,563.47x = 18,799,176,999.17
  5. Step 5: Solve for x
    x = 18,799,176,999.17/209,563.47
  6. Step 6: Final answer
    x = 89,706.36

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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.