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Finding the Fourth Proportional to 239,175.94, 358,714.63 and 105,971.24

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Solution

The fourth proportional to 239,175.94, 358,714.63 and 105,971.24 is: 158,935.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,175.94 : 358,714.63 = 105,971.24 : x
  2. Step 2: Convert to fraction form
    239,175.94/358,714.63 = 105,971.24/x
  3. Step 3: Cross multiply
    239,175.94x = 358,714.63 × 105,971.24
  4. Step 4: Simplify right side
    239,175.94x = 38,013,432,562.63
  5. Step 5: Solve for x
    x = 38,013,432,562.63/239,175.94
  6. Step 6: Final answer
    x = 158,935.02

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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.