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Finding the Fourth Proportional to 157,384, 236,122.24 and 46,578.88

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Solution

The fourth proportional to 157,384, 236,122.24 and 46,578.88 is: 69,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,384 : 236,122.24 = 46,578.88 : x
  2. Step 2: Convert to fraction form
    157,384/236,122.24 = 46,578.88/x
  3. Step 3: Cross multiply
    157,384x = 236,122.24 × 46,578.88
  4. Step 4: Simplify right side
    157,384x = 10,998,309,482.29
  5. Step 5: Solve for x
    x = 10,998,309,482.29/157,384
  6. Step 6: Final answer
    x = 69,882.01

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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.