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Finding the Fourth Proportional to 117,830.20, 176,550.90 and 58,538.20

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Solution

The fourth proportional to 117,830.20, 176,550.90 and 58,538.20 is: 87,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,830.20 : 176,550.90 = 58,538.20 : x
  2. Step 2: Convert to fraction form
    117,830.20/176,550.90 = 58,538.20/x
  3. Step 3: Cross multiply
    117,830.20x = 176,550.90 × 58,538.20
  4. Step 4: Simplify right side
    117,830.20x = 10,334,971,894.38
  5. Step 5: Solve for x
    x = 10,334,971,894.38/117,830.20
  6. Step 6: Final answer
    x = 87,710.72

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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.