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Finding the Fourth Proportional to 218,513.84, 301,554.96 and 123,024.16

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Solution

The fourth proportional to 218,513.84, 301,554.96 and 123,024.16 is: 169,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,513.84 : 301,554.96 = 123,024.16 : x
  2. Step 2: Convert to fraction form
    218,513.84/301,554.96 = 123,024.16/x
  3. Step 3: Cross multiply
    218,513.84x = 301,554.96 × 123,024.16
  4. Step 4: Simplify right side
    218,513.84x = 37,098,545,647.83
  5. Step 5: Solve for x
    x = 37,098,545,647.83/218,513.84
  6. Step 6: Final answer
    x = 169,776.64

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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.