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Finding the Fourth Proportional to 316,714.36, 475,071.90 and 95,098.36

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Solution

The fourth proportional to 316,714.36, 475,071.90 and 95,098.36 is: 142,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,714.36 : 475,071.90 = 95,098.36 : x
  2. Step 2: Convert to fraction form
    316,714.36/475,071.90 = 95,098.36/x
  3. Step 3: Cross multiply
    316,714.36x = 475,071.90 × 95,098.36
  4. Step 4: Simplify right side
    316,714.36x = 45,178,558,572.08
  5. Step 5: Solve for x
    x = 45,178,558,572.08/316,714.36
  6. Step 6: Final answer
    x = 142,647.65

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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.