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Finding the Fourth Proportional to 202,872.60, 304,308.90 and 146,885.40

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Solution

The fourth proportional to 202,872.60, 304,308.90 and 146,885.40 is: 220,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,872.60 : 304,308.90 = 146,885.40 : x
  2. Step 2: Convert to fraction form
    202,872.60/304,308.90 = 146,885.40/x
  3. Step 3: Cross multiply
    202,872.60x = 304,308.90 × 146,885.40
  4. Step 4: Simplify right side
    202,872.60x = 44,698,534,500.06
  5. Step 5: Solve for x
    x = 44,698,534,500.06/202,872.60
  6. Step 6: Final answer
    x = 220,328.10

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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.