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Finding the Fourth Proportional to 158,714.54, 219,032.38 and 87,097.12

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Solution

The fourth proportional to 158,714.54, 219,032.38 and 87,097.12 is: 120,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,714.54 : 219,032.38 = 87,097.12 : x
  2. Step 2: Convert to fraction form
    158,714.54/219,032.38 = 87,097.12/x
  3. Step 3: Cross multiply
    158,714.54x = 219,032.38 × 87,097.12
  4. Step 4: Simplify right side
    158,714.54x = 19,077,090,033.13
  5. Step 5: Solve for x
    x = 19,077,090,033.13/158,714.54
  6. Step 6: Final answer
    x = 120,197.50

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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.