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Finding the Fourth Proportional to 374,097.91, 561,370.43 and 137,464.51

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Solution

The fourth proportional to 374,097.91, 561,370.43 and 137,464.51 is: 206,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,097.91 : 561,370.43 = 137,464.51 : x
  2. Step 2: Convert to fraction form
    374,097.91/561,370.43 = 137,464.51/x
  3. Step 3: Cross multiply
    374,097.91x = 561,370.43 × 137,464.51
  4. Step 4: Simplify right side
    374,097.91x = 77,168,507,594.26
  5. Step 5: Solve for x
    x = 77,168,507,594.26/374,097.91
  6. Step 6: Final answer
    x = 206,278.91

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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.