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Finding the Fourth Proportional to 288,775.91, 433,237.68 and 111,235.25

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Solution

The fourth proportional to 288,775.91, 433,237.68 and 111,235.25 is: 166,881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,775.91 : 433,237.68 = 111,235.25 : x
  2. Step 2: Convert to fraction form
    288,775.91/433,237.68 = 111,235.25/x
  3. Step 3: Cross multiply
    288,775.91x = 433,237.68 × 111,235.25
  4. Step 4: Simplify right side
    288,775.91x = 48,191,302,727.31
  5. Step 5: Solve for x
    x = 48,191,302,727.31/288,775.91
  6. Step 6: Final answer
    x = 166,881.31

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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.