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Finding the Fourth Proportional to 209,806.98, 289,304.51 and 141,705.74

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Solution

The fourth proportional to 209,806.98, 289,304.51 and 141,705.74 is: 195,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,806.98 : 289,304.51 = 141,705.74 : x
  2. Step 2: Convert to fraction form
    209,806.98/289,304.51 = 141,705.74/x
  3. Step 3: Cross multiply
    209,806.98x = 289,304.51 × 141,705.74
  4. Step 4: Simplify right side
    209,806.98x = 40,996,107,519.84
  5. Step 5: Solve for x
    x = 40,996,107,519.84/209,806.98
  6. Step 6: Final answer
    x = 195,399.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.