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Finding the Fourth Proportional to 235,638.32, 353,476.31 and 141,509.84

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Solution

The fourth proportional to 235,638.32, 353,476.31 and 141,509.84 is: 212,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,638.32 : 353,476.31 = 141,509.84 : x
  2. Step 2: Convert to fraction form
    235,638.32/353,476.31 = 141,509.84/x
  3. Step 3: Cross multiply
    235,638.32x = 353,476.31 × 141,509.84
  4. Step 4: Simplify right side
    235,638.32x = 50,020,373,596.96
  5. Step 5: Solve for x
    x = 50,020,373,596.96/235,638.32
  6. Step 6: Final answer
    x = 212,276.06

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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.