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Finding the Fourth Proportional to 233,438.70, 350,486.10 and 144,865.20

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Solution

The fourth proportional to 233,438.70, 350,486.10 and 144,865.20 is: 217,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,438.70 : 350,486.10 = 144,865.20 : x
  2. Step 2: Convert to fraction form
    233,438.70/350,486.10 = 144,865.20/x
  3. Step 3: Cross multiply
    233,438.70x = 350,486.10 × 144,865.20
  4. Step 4: Simplify right side
    233,438.70x = 50,773,238,973.72
  5. Step 5: Solve for x
    x = 50,773,238,973.72/233,438.70
  6. Step 6: Final answer
    x = 217,501.38

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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.