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Finding the Fourth Proportional to 202,802.70, 304,204.05 and 171,698.70

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Solution

The fourth proportional to 202,802.70, 304,204.05 and 171,698.70 is: 257,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,802.70 : 304,204.05 = 171,698.70 : x
  2. Step 2: Convert to fraction form
    202,802.70/304,204.05 = 171,698.70/x
  3. Step 3: Cross multiply
    202,802.70x = 304,204.05 × 171,698.70
  4. Step 4: Simplify right side
    202,802.70x = 52,231,439,919.74
  5. Step 5: Solve for x
    x = 52,231,439,919.74/202,802.70
  6. Step 6: Final answer
    x = 257,548.05

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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.