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Finding the Fourth Proportional to 202,031.69, 278,803.35 and 111,387.02

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Solution

The fourth proportional to 202,031.69, 278,803.35 and 111,387.02 is: 153,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,031.69 : 278,803.35 = 111,387.02 : x
  2. Step 2: Convert to fraction form
    202,031.69/278,803.35 = 111,387.02/x
  3. Step 3: Cross multiply
    202,031.69x = 278,803.35 × 111,387.02
  4. Step 4: Simplify right side
    202,031.69x = 31,055,072,928.50
  5. Step 5: Solve for x
    x = 31,055,072,928.50/202,031.69
  6. Step 6: Final answer
    x = 153,713.87

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