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Finding the Fourth Proportional to 201,700.35, 302,550.53 and 145,713.15

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Solution

The fourth proportional to 201,700.35, 302,550.53 and 145,713.15 is: 218,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,700.35 : 302,550.53 = 145,713.15 : x
  2. Step 2: Convert to fraction form
    201,700.35/302,550.53 = 145,713.15/x
  3. Step 3: Cross multiply
    201,700.35x = 302,550.53 × 145,713.15
  4. Step 4: Simplify right side
    201,700.35x = 44,085,590,031.90
  5. Step 5: Solve for x
    x = 44,085,590,031.90/201,700.35
  6. Step 6: Final answer
    x = 218,569.73

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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.