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Finding the Fourth Proportional to 194,149.35, 291,223.80 and 61,041.24

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Solution

The fourth proportional to 194,149.35, 291,223.80 and 61,041.24 is: 91,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,149.35 : 291,223.80 = 61,041.24 : x
  2. Step 2: Convert to fraction form
    194,149.35/291,223.80 = 61,041.24/x
  3. Step 3: Cross multiply
    194,149.35x = 291,223.80 × 61,041.24
  4. Step 4: Simplify right side
    194,149.35x = 17,776,661,869.51
  5. Step 5: Solve for x
    x = 17,776,661,869.51/194,149.35
  6. Step 6: Final answer
    x = 91,561.79

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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.