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Finding the Fourth Proportional to 268,658.91, 370,741.86 and 146,147.22

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Solution

The fourth proportional to 268,658.91, 370,741.86 and 146,147.22 is: 201,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,658.91 : 370,741.86 = 146,147.22 : x
  2. Step 2: Convert to fraction form
    268,658.91/370,741.86 = 146,147.22/x
  3. Step 3: Cross multiply
    268,658.91x = 370,741.86 × 146,147.22
  4. Step 4: Simplify right side
    268,658.91x = 54,182,892,176.63
  5. Step 5: Solve for x
    x = 54,182,892,176.63/268,658.91
  6. Step 6: Final answer
    x = 201,679.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.