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Finding the Fourth Proportional to 201,713.40, 302,570.10 and 173,719.80

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Solution

The fourth proportional to 201,713.40, 302,570.10 and 173,719.80 is: 260,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,713.40 : 302,570.10 = 173,719.80 : x
  2. Step 2: Convert to fraction form
    201,713.40/302,570.10 = 173,719.80/x
  3. Step 3: Cross multiply
    201,713.40x = 302,570.10 × 173,719.80
  4. Step 4: Simplify right side
    201,713.40x = 52,562,417,257.98
  5. Step 5: Solve for x
    x = 52,562,417,257.98/201,713.40
  6. Step 6: Final answer
    x = 260,579.70

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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.