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Finding the Fourth Proportional to 288,167.10, 432,271.41 and 110,674.11

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Solution

The fourth proportional to 288,167.10, 432,271.41 and 110,674.11 is: 166,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,167.10 : 432,271.41 = 110,674.11 : x
  2. Step 2: Convert to fraction form
    288,167.10/432,271.41 = 110,674.11/x
  3. Step 3: Cross multiply
    288,167.10x = 432,271.41 × 110,674.11
  4. Step 4: Simplify right side
    288,167.10x = 47,841,252,354.66
  5. Step 5: Solve for x
    x = 47,841,252,354.66/288,167.10
  6. Step 6: Final answer
    x = 166,019.14

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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.