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Finding the Fourth Proportional to 147,704, 221,648.16 and 60,152

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Solution

The fourth proportional to 147,704, 221,648.16 and 60,152 is: 90,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,704 : 221,648.16 = 60,152 : x
  2. Step 2: Convert to fraction form
    147,704/221,648.16 = 60,152/x
  3. Step 3: Cross multiply
    147,704x = 221,648.16 × 60,152
  4. Step 4: Simplify right side
    147,704x = 13,332,580,120.32
  5. Step 5: Solve for x
    x = 13,332,580,120.32/147,704
  6. Step 6: Final answer
    x = 90,265.53

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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.