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Finding the Fourth Proportional to 233,267.08, 349,898.32 and 106,871.48

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Solution

The fourth proportional to 233,267.08, 349,898.32 and 106,871.48 is: 160,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,267.08 : 349,898.32 = 106,871.48 : x
  2. Step 2: Convert to fraction form
    233,267.08/349,898.32 = 106,871.48/x
  3. Step 3: Cross multiply
    233,267.08x = 349,898.32 × 106,871.48
  4. Step 4: Simplify right side
    233,267.08x = 37,394,151,307.91
  5. Step 5: Solve for x
    x = 37,394,151,307.91/233,267.08
  6. Step 6: Final answer
    x = 160,306.17

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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.