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Finding the Fourth Proportional to 209,809.84, 314,773.16 and 91,491.60

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Solution

The fourth proportional to 209,809.84, 314,773.16 and 91,491.60 is: 137,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,809.84 : 314,773.16 = 91,491.60 : x
  2. Step 2: Convert to fraction form
    209,809.84/314,773.16 = 91,491.60/x
  3. Step 3: Cross multiply
    209,809.84x = 314,773.16 × 91,491.60
  4. Step 4: Simplify right side
    209,809.84x = 28,799,100,045.46
  5. Step 5: Solve for x
    x = 28,799,100,045.46/209,809.84
  6. Step 6: Final answer
    x = 137,262.87

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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.