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Finding the Fourth Proportional to 202,885.20, 304,327.80 and 97,678.80

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Solution

The fourth proportional to 202,885.20, 304,327.80 and 97,678.80 is: 146,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,885.20 : 304,327.80 = 97,678.80 : x
  2. Step 2: Convert to fraction form
    202,885.20/304,327.80 = 97,678.80/x
  3. Step 3: Cross multiply
    202,885.20x = 304,327.80 × 97,678.80
  4. Step 4: Simplify right side
    202,885.20x = 29,726,374,310.64
  5. Step 5: Solve for x
    x = 29,726,374,310.64/202,885.20
  6. Step 6: Final answer
    x = 146,518.20

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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.