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Finding the Fourth Proportional to 96,665.30, 144,956.51 and 52,280

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Solution

The fourth proportional to 96,665.30, 144,956.51 and 52,280 is: 78,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,665.30 : 144,956.51 = 52,280 : x
  2. Step 2: Convert to fraction form
    96,665.30/144,956.51 = 52,280/x
  3. Step 3: Cross multiply
    96,665.30x = 144,956.51 × 52,280
  4. Step 4: Simplify right side
    96,665.30x = 7,578,326,081.40
  5. Step 5: Solve for x
    x = 7,578,326,081.40/96,665.30
  6. Step 6: Final answer
    x = 78,397.59

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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.