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Finding the Fourth Proportional to 287,457.66, 431,186.49 and 87,767.35

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Solution

The fourth proportional to 287,457.66, 431,186.49 and 87,767.35 is: 131,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,457.66 : 431,186.49 = 87,767.35 : x
  2. Step 2: Convert to fraction form
    287,457.66/431,186.49 = 87,767.35/x
  3. Step 3: Cross multiply
    287,457.66x = 431,186.49 × 87,767.35
  4. Step 4: Simplify right side
    287,457.66x = 37,844,094,505.14
  5. Step 5: Solve for x
    x = 37,844,094,505.14/287,457.66
  6. Step 6: Final answer
    x = 131,651.02

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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.