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Finding the Fourth Proportional to 194,580.35, 291,846.37 and 52,436.74

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Solution

The fourth proportional to 194,580.35, 291,846.37 and 52,436.74 is: 78,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,580.35 : 291,846.37 = 52,436.74 : x
  2. Step 2: Convert to fraction form
    194,580.35/291,846.37 = 52,436.74/x
  3. Step 3: Cross multiply
    194,580.35x = 291,846.37 × 52,436.74
  4. Step 4: Simplify right side
    194,580.35x = 15,303,472,223.63
  5. Step 5: Solve for x
    x = 15,303,472,223.63/194,580.35
  6. Step 6: Final answer
    x = 78,648.60

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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.