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Finding the Fourth Proportional to 235,832.42, 353,751.37 and 100,878.12

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Solution

The fourth proportional to 235,832.42, 353,751.37 and 100,878.12 is: 151,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,832.42 : 353,751.37 = 100,878.12 : x
  2. Step 2: Convert to fraction form
    235,832.42/353,751.37 = 100,878.12/x
  3. Step 3: Cross multiply
    235,832.42x = 353,751.37 × 100,878.12
  4. Step 4: Simplify right side
    235,832.42x = 35,685,772,900.83
  5. Step 5: Solve for x
    x = 35,685,772,900.83/235,832.42
  6. Step 6: Final answer
    x = 151,318.35

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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.