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Finding the Fourth Proportional to 146,035.77, 218,950.11 and 64,938.46

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Solution

The fourth proportional to 146,035.77, 218,950.11 and 64,938.46 is: 97,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,035.77 : 218,950.11 = 64,938.46 : x
  2. Step 2: Convert to fraction form
    146,035.77/218,950.11 = 64,938.46/x
  3. Step 3: Cross multiply
    146,035.77x = 218,950.11 × 64,938.46
  4. Step 4: Simplify right side
    146,035.77x = 14,218,282,960.23
  5. Step 5: Solve for x
    x = 14,218,282,960.23/146,035.77
  6. Step 6: Final answer
    x = 97,361.65

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Why These Related Problems?

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