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Finding the Fourth Proportional to 194,468.13, 291,702.13 and 46,724.13

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Solution

The fourth proportional to 194,468.13, 291,702.13 and 46,724.13 is: 70,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,468.13 : 291,702.13 = 46,724.13 : x
  2. Step 2: Convert to fraction form
    194,468.13/291,702.13 = 46,724.13/x
  3. Step 3: Cross multiply
    194,468.13x = 291,702.13 × 46,724.13
  4. Step 4: Simplify right side
    194,468.13x = 13,629,528,126.59
  5. Step 5: Solve for x
    x = 13,629,528,126.59/194,468.13
  6. Step 6: Final answer
    x = 70,086.18

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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.