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Finding the Fourth Proportional to 202,000.60, 303,000.90 and 146,013.40

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Solution

The fourth proportional to 202,000.60, 303,000.90 and 146,013.40 is: 219,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,000.60 : 303,000.90 = 146,013.40 : x
  2. Step 2: Convert to fraction form
    202,000.60/303,000.90 = 146,013.40/x
  3. Step 3: Cross multiply
    202,000.60x = 303,000.90 × 146,013.40
  4. Step 4: Simplify right side
    202,000.60x = 44,242,191,612.06
  5. Step 5: Solve for x
    x = 44,242,191,612.06/202,000.60
  6. Step 6: Final answer
    x = 219,020.10

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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.