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Finding the Fourth Proportional to 202,969.80, 304,454.70 and 109,657.80

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Solution

The fourth proportional to 202,969.80, 304,454.70 and 109,657.80 is: 164,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,969.80 : 304,454.70 = 109,657.80 : x
  2. Step 2: Convert to fraction form
    202,969.80/304,454.70 = 109,657.80/x
  3. Step 3: Cross multiply
    202,969.80x = 304,454.70 × 109,657.80
  4. Step 4: Simplify right side
    202,969.80x = 33,385,832,601.66
  5. Step 5: Solve for x
    x = 33,385,832,601.66/202,969.80
  6. Step 6: Final answer
    x = 164,486.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.