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Finding the Fourth Proportional to 208,848.52, 288,203.25 and 113,353.17

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Solution

The fourth proportional to 208,848.52, 288,203.25 and 113,353.17 is: 156,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,848.52 : 288,203.25 = 113,353.17 : x
  2. Step 2: Convert to fraction form
    208,848.52/288,203.25 = 113,353.17/x
  3. Step 3: Cross multiply
    208,848.52x = 288,203.25 × 113,353.17
  4. Step 4: Simplify right side
    208,848.52x = 32,668,751,991.80
  5. Step 5: Solve for x
    x = 32,668,751,991.80/208,848.52
  6. Step 6: Final answer
    x = 156,423.19

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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.