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Finding the Fourth Proportional to 150,867, 226,300.50 and 38,547.47

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Solution

The fourth proportional to 150,867, 226,300.50 and 38,547.47 is: 57,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,867 : 226,300.50 = 38,547.47 : x
  2. Step 2: Convert to fraction form
    150,867/226,300.50 = 38,547.47/x
  3. Step 3: Cross multiply
    150,867x = 226,300.50 × 38,547.47
  4. Step 4: Simplify right side
    150,867x = 8,723,310,603.23
  5. Step 5: Solve for x
    x = 8,723,310,603.23/150,867
  6. Step 6: Final answer
    x = 57,821.20

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1.5x scale

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.