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Finding the Fourth Proportional to 202,034.70, 302,857.65 and 157,031.10

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Solution

The fourth proportional to 202,034.70, 302,857.65 and 157,031.10 is: 235,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,034.70 : 302,857.65 = 157,031.10 : x
  2. Step 2: Convert to fraction form
    202,034.70/302,857.65 = 157,031.10/x
  3. Step 3: Cross multiply
    202,034.70x = 302,857.65 × 157,031.10
  4. Step 4: Simplify right side
    202,034.70x = 47,558,069,922.92
  5. Step 5: Solve for x
    x = 47,558,069,922.92/202,034.70
  6. Step 6: Final answer
    x = 235,395.55

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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.