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Finding the Fourth Proportional to 287,988.72, 432,175.90 and 119,509.21

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Solution

The fourth proportional to 287,988.72, 432,175.90 and 119,509.21 is: 179,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,988.72 : 432,175.90 = 119,509.21 : x
  2. Step 2: Convert to fraction form
    287,988.72/432,175.90 = 119,509.21/x
  3. Step 3: Cross multiply
    287,988.72x = 432,175.90 × 119,509.21
  4. Step 4: Simplify right side
    287,988.72x = 51,649,000,390.04
  5. Step 5: Solve for x
    x = 51,649,000,390.04/287,988.72
  6. Step 6: Final answer
    x = 179,343.83

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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.