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Finding the Fourth Proportional to 209,164.59, 288,647.01 and 113,671.29

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Solution

The fourth proportional to 209,164.59, 288,647.01 and 113,671.29 is: 156,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,164.59 : 288,647.01 = 113,671.29 : x
  2. Step 2: Convert to fraction form
    209,164.59/288,647.01 = 113,671.29/x
  3. Step 3: Cross multiply
    209,164.59x = 288,647.01 × 113,671.29
  4. Step 4: Simplify right side
    209,164.59x = 32,810,879,063.77
  5. Step 5: Solve for x
    x = 32,810,879,063.77/209,164.59
  6. Step 6: Final answer
    x = 156,866.32

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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.