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Finding the Fourth Proportional to 195,150, 292,725.72 and 47,406

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Solution

The fourth proportional to 195,150, 292,725.72 and 47,406 is: 71,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,150 : 292,725.72 = 47,406 : x
  2. Step 2: Convert to fraction form
    195,150/292,725.72 = 47,406/x
  3. Step 3: Cross multiply
    195,150x = 292,725.72 × 47,406
  4. Step 4: Simplify right side
    195,150x = 13,876,955,482.32
  5. Step 5: Solve for x
    x = 13,876,955,482.32/195,150
  6. Step 6: Final answer
    x = 71,109.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.