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Finding the Fourth Proportional to 219,294.24, 302,646 and 123,824.40

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Solution

The fourth proportional to 219,294.24, 302,646 and 123,824.40 is: 170,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,294.24 : 302,646 = 123,824.40 : x
  2. Step 2: Convert to fraction form
    219,294.24/302,646 = 123,824.40/x
  3. Step 3: Cross multiply
    219,294.24x = 302,646 × 123,824.40
  4. Step 4: Simplify right side
    219,294.24x = 37,474,959,362.40
  5. Step 5: Solve for x
    x = 37,474,959,362.40/219,294.24
  6. Step 6: Final answer
    x = 170,888.94

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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.