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Finding the Fourth Proportional to 117,868, 176,565.48 and 58,524.16

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Solution

The fourth proportional to 117,868, 176,565.48 and 58,524.16 is: 87,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,868 : 176,565.48 = 58,524.16 : x
  2. Step 2: Convert to fraction form
    117,868/176,565.48 = 58,524.16/x
  3. Step 3: Cross multiply
    117,868x = 176,565.48 × 58,524.16
  4. Step 4: Simplify right side
    117,868x = 10,333,346,402.00
  5. Step 5: Solve for x
    x = 10,333,346,402.00/117,868
  6. Step 6: Final answer
    x = 87,668.80

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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.