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Finding the Fourth Proportional to 208,853.78, 288,210.50 and 113,358.44

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Solution

The fourth proportional to 208,853.78, 288,210.50 and 113,358.44 is: 156,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,853.78 : 288,210.50 = 113,358.44 : x
  2. Step 2: Convert to fraction form
    208,853.78/288,210.50 = 113,358.44/x
  3. Step 3: Cross multiply
    208,853.78x = 288,210.50 × 113,358.44
  4. Step 4: Simplify right side
    208,853.78x = 32,671,092,104.83
  5. Step 5: Solve for x
    x = 32,671,092,104.83/208,853.78
  6. Step 6: Final answer
    x = 156,430.46

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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.