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Finding the Fourth Proportional to 147,350.75, 221,026.13 and 53,856.50

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Solution

The fourth proportional to 147,350.75, 221,026.13 and 53,856.50 is: 80,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,350.75 : 221,026.13 = 53,856.50 : x
  2. Step 2: Convert to fraction form
    147,350.75/221,026.13 = 53,856.50/x
  3. Step 3: Cross multiply
    147,350.75x = 221,026.13 × 53,856.50
  4. Step 4: Simplify right side
    147,350.75x = 11,903,693,501.06
  5. Step 5: Solve for x
    x = 11,903,693,501.06/147,350.75
  6. Step 6: Final answer
    x = 80,784.75

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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.