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Finding the Fourth Proportional to 123,376.64, 185,068.80 and 53,207.04

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Solution

The fourth proportional to 123,376.64, 185,068.80 and 53,207.04 is: 79,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,376.64 : 185,068.80 = 53,207.04 : x
  2. Step 2: Convert to fraction form
    123,376.64/185,068.80 = 53,207.04/x
  3. Step 3: Cross multiply
    123,376.64x = 185,068.80 × 53,207.04
  4. Step 4: Simplify right side
    123,376.64x = 9,846,963,044.35
  5. Step 5: Solve for x
    x = 9,846,963,044.35/123,376.64
  6. Step 6: Final answer
    x = 79,812.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.