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Finding the Fourth Proportional to 194,468.63, 291,702.96 and 46,724.63

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Solution

The fourth proportional to 194,468.63, 291,702.96 and 46,724.63 is: 70,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,468.63 : 291,702.96 = 46,724.63 : x
  2. Step 2: Convert to fraction form
    194,468.63/291,702.96 = 46,724.63/x
  3. Step 3: Cross multiply
    194,468.63x = 291,702.96 × 46,724.63
  4. Step 4: Simplify right side
    194,468.63x = 13,629,711,417.39
  5. Step 5: Solve for x
    x = 13,629,711,417.39/194,468.63
  6. Step 6: Final answer
    x = 70,086.94

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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.