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Finding the Fourth Proportional to 219,260.16, 302,592.64 and 123,732

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Solution

The fourth proportional to 219,260.16, 302,592.64 and 123,732 is: 170,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,260.16 : 302,592.64 = 123,732 : x
  2. Step 2: Convert to fraction form
    219,260.16/302,592.64 = 123,732/x
  3. Step 3: Cross multiply
    219,260.16x = 302,592.64 × 123,732
  4. Step 4: Simplify right side
    219,260.16x = 37,440,392,532.48
  5. Step 5: Solve for x
    x = 37,440,392,532.48/219,260.16
  6. Step 6: Final answer
    x = 170,757.85

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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.