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Finding the Fourth Proportional to 194,026.51, 291,039.84 and 87,285.79

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Solution

The fourth proportional to 194,026.51, 291,039.84 and 87,285.79 is: 130,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,026.51 : 291,039.84 = 87,285.79 : x
  2. Step 2: Convert to fraction form
    194,026.51/291,039.84 = 87,285.79/x
  3. Step 3: Cross multiply
    194,026.51x = 291,039.84 × 87,285.79
  4. Step 4: Simplify right side
    194,026.51x = 25,403,642,355.87
  5. Step 5: Solve for x
    x = 25,403,642,355.87/194,026.51
  6. Step 6: Final answer
    x = 130,928.72

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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.