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Finding the Fourth Proportional to 159,097, 219,548.24 and 87,476.52

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Solution

The fourth proportional to 159,097, 219,548.24 and 87,476.52 is: 120,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,097 : 219,548.24 = 87,476.52 : x
  2. Step 2: Convert to fraction form
    159,097/219,548.24 = 87,476.52/x
  3. Step 3: Cross multiply
    159,097x = 219,548.24 × 87,476.52
  4. Step 4: Simplify right side
    159,097x = 19,205,316,007.32
  5. Step 5: Solve for x
    x = 19,205,316,007.32/159,097
  6. Step 6: Final answer
    x = 120,714.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.