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Finding the Fourth Proportional to 281,637, 422,455.50 and 94,648.50

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Solution

The fourth proportional to 281,637, 422,455.50 and 94,648.50 is: 141,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,637 : 422,455.50 = 94,648.50 : x
  2. Step 2: Convert to fraction form
    281,637/422,455.50 = 94,648.50/x
  3. Step 3: Cross multiply
    281,637x = 422,455.50 × 94,648.50
  4. Step 4: Simplify right side
    281,637x = 39,984,779,391.75
  5. Step 5: Solve for x
    x = 39,984,779,391.75/281,637
  6. Step 6: Final answer
    x = 141,972.75

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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.