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Finding the Fourth Proportional to 264,164.87, 364,547.51 and 150,990.05

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Solution

The fourth proportional to 264,164.87, 364,547.51 and 150,990.05 is: 208,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,164.87 : 364,547.51 = 150,990.05 : x
  2. Step 2: Convert to fraction form
    264,164.87/364,547.51 = 150,990.05/x
  3. Step 3: Cross multiply
    264,164.87x = 364,547.51 × 150,990.05
  4. Step 4: Simplify right side
    264,164.87x = 55,043,044,939.54
  5. Step 5: Solve for x
    x = 55,043,044,939.54/264,164.87
  6. Step 6: Final answer
    x = 208,366.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.