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Finding the Fourth Proportional to 209,770.76, 289,482.22 and 114,277.52

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Solution

The fourth proportional to 209,770.76, 289,482.22 and 114,277.52 is: 157,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,770.76 : 289,482.22 = 114,277.52 : x
  2. Step 2: Convert to fraction form
    209,770.76/289,482.22 = 114,277.52/x
  3. Step 3: Cross multiply
    209,770.76x = 289,482.22 × 114,277.52
  4. Step 4: Simplify right side
    209,770.76x = 33,081,310,185.69
  5. Step 5: Solve for x
    x = 33,081,310,185.69/209,770.76
  6. Step 6: Final answer
    x = 157,702.20

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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.