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Finding the Fourth Proportional to 215,202, 322,854.84 and 67,458

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Solution

The fourth proportional to 215,202, 322,854.84 and 67,458 is: 101,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,202 : 322,854.84 = 67,458 : x
  2. Step 2: Convert to fraction form
    215,202/322,854.84 = 67,458/x
  3. Step 3: Cross multiply
    215,202x = 322,854.84 × 67,458
  4. Step 4: Simplify right side
    215,202x = 21,779,141,796.72
  5. Step 5: Solve for x
    x = 21,779,141,796.72/215,202
  6. Step 6: Final answer
    x = 101,203.25

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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.