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Finding the Fourth Proportional to 208,844.93, 288,206.29 and 113,351.63

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Solution

The fourth proportional to 208,844.93, 288,206.29 and 113,351.63 is: 156,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,844.93 : 288,206.29 = 113,351.63 : x
  2. Step 2: Convert to fraction form
    208,844.93/288,206.29 = 113,351.63/x
  3. Step 3: Cross multiply
    208,844.93x = 288,206.29 × 113,351.63
  4. Step 4: Simplify right side
    208,844.93x = 32,668,653,184.89
  5. Step 5: Solve for x
    x = 32,668,653,184.89/208,844.93
  6. Step 6: Final answer
    x = 156,425.41

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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.