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Finding the Fourth Proportional to 261,219.24, 360,486.64 and 146,523.36

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Solution

The fourth proportional to 261,219.24, 360,486.64 and 146,523.36 is: 202,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,219.24 : 360,486.64 = 146,523.36 : x
  2. Step 2: Convert to fraction form
    261,219.24/360,486.64 = 146,523.36/x
  3. Step 3: Cross multiply
    261,219.24x = 360,486.64 × 146,523.36
  4. Step 4: Simplify right side
    261,219.24x = 52,819,713,727.91
  5. Step 5: Solve for x
    x = 52,819,713,727.91/261,219.24
  6. Step 6: Final answer
    x = 202,204.53

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