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Finding the Fourth Proportional to 233,103.51, 349,655.20 and 154,199.30

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Solution

The fourth proportional to 233,103.51, 349,655.20 and 154,199.30 is: 231,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,103.51 : 349,655.20 = 154,199.30 : x
  2. Step 2: Convert to fraction form
    233,103.51/349,655.20 = 154,199.30/x
  3. Step 3: Cross multiply
    233,103.51x = 349,655.20 × 154,199.30
  4. Step 4: Simplify right side
    233,103.51x = 53,916,584,947.59
  5. Step 5: Solve for x
    x = 53,916,584,947.59/233,103.51
  6. Step 6: Final answer
    x = 231,298.90

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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.