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Finding the Fourth Proportional to 146,337.40, 219,506.10 and 35,529.40

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Solution

The fourth proportional to 146,337.40, 219,506.10 and 35,529.40 is: 53,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,337.40 : 219,506.10 = 35,529.40 : x
  2. Step 2: Convert to fraction form
    146,337.40/219,506.10 = 35,529.40/x
  3. Step 3: Cross multiply
    146,337.40x = 219,506.10 × 35,529.40
  4. Step 4: Simplify right side
    146,337.40x = 7,798,920,029.34
  5. Step 5: Solve for x
    x = 7,798,920,029.34/146,337.40
  6. Step 6: Final answer
    x = 53,294.10

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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.