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Finding the Fourth Proportional to 288,187.72, 432,302.32 and 110,694.74

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Solution

The fourth proportional to 288,187.72, 432,302.32 and 110,694.74 is: 166,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,187.72 : 432,302.32 = 110,694.74 : x
  2. Step 2: Convert to fraction form
    288,187.72/432,302.32 = 110,694.74/x
  3. Step 3: Cross multiply
    288,187.72x = 432,302.32 × 110,694.74
  4. Step 4: Simplify right side
    288,187.72x = 47,853,592,637.06
  5. Step 5: Solve for x
    x = 47,853,592,637.06/288,187.72
  6. Step 6: Final answer
    x = 166,050.07

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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.