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Finding the Fourth Proportional to 117,814.50, 162,582.75 and 70,066.80

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Solution

The fourth proportional to 117,814.50, 162,582.75 and 70,066.80 is: 96,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,814.50 : 162,582.75 = 70,066.80 : x
  2. Step 2: Convert to fraction form
    117,814.50/162,582.75 = 70,066.80/x
  3. Step 3: Cross multiply
    117,814.50x = 162,582.75 × 70,066.80
  4. Step 4: Simplify right side
    117,814.50x = 11,391,653,027.70
  5. Step 5: Solve for x
    x = 11,391,653,027.70/117,814.50
  6. Step 6: Final answer
    x = 96,691.43

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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.