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Finding the Fourth Proportional to 194,702.78, 291,928.62 and 76,386.08

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Solution

The fourth proportional to 194,702.78, 291,928.62 and 76,386.08 is: 114,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,702.78 : 291,928.62 = 76,386.08 : x
  2. Step 2: Convert to fraction form
    194,702.78/291,928.62 = 76,386.08/x
  3. Step 3: Cross multiply
    194,702.78x = 291,928.62 × 76,386.08
  4. Step 4: Simplify right side
    194,702.78x = 22,299,282,921.61
  5. Step 5: Solve for x
    x = 22,299,282,921.61/194,702.78
  6. Step 6: Final answer
    x = 114,529.86

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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.