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Finding the Fourth Proportional to 230,433.40, 345,868.80 and 141,859.90

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Solution

The fourth proportional to 230,433.40, 345,868.80 and 141,859.90 is: 212,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,433.40 : 345,868.80 = 141,859.90 : x
  2. Step 2: Convert to fraction form
    230,433.40/345,868.80 = 141,859.90/x
  3. Step 3: Cross multiply
    230,433.40x = 345,868.80 × 141,859.90
  4. Step 4: Simplify right side
    230,433.40x = 49,064,913,381.12
  5. Step 5: Solve for x
    x = 49,064,913,381.12/230,433.40
  6. Step 6: Final answer
    x = 212,924.49

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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.