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Finding the Fourth Proportional to 209,279.70, 288,798.09 and 113,783.10

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Solution

The fourth proportional to 209,279.70, 288,798.09 and 113,783.10 is: 157,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,279.70 : 288,798.09 = 113,783.10 : x
  2. Step 2: Convert to fraction form
    209,279.70/288,798.09 = 113,783.10/x
  3. Step 3: Cross multiply
    209,279.70x = 288,798.09 × 113,783.10
  4. Step 4: Simplify right side
    209,279.70x = 32,860,341,954.28
  5. Step 5: Solve for x
    x = 32,860,341,954.28/209,279.70
  6. Step 6: Final answer
    x = 157,016.39

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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.