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Finding the Fourth Proportional to 218,521.02, 301,605.54 and 146,859.53

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Solution

The fourth proportional to 218,521.02, 301,605.54 and 146,859.53 is: 202,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,521.02 : 301,605.54 = 146,859.53 : x
  2. Step 2: Convert to fraction form
    218,521.02/301,605.54 = 146,859.53/x
  3. Step 3: Cross multiply
    218,521.02x = 301,605.54 × 146,859.53
  4. Step 4: Simplify right side
    218,521.02x = 44,293,646,972.14
  5. Step 5: Solve for x
    x = 44,293,646,972.14/218,521.02
  6. Step 6: Final answer
    x = 202,697.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.