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Finding the Fourth Proportional to 105,658.74, 158,492.97 and 43,285.50

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Solution

The fourth proportional to 105,658.74, 158,492.97 and 43,285.50 is: 64,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,658.74 : 158,492.97 = 43,285.50 : x
  2. Step 2: Convert to fraction form
    105,658.74/158,492.97 = 43,285.50/x
  3. Step 3: Cross multiply
    105,658.74x = 158,492.97 × 43,285.50
  4. Step 4: Simplify right side
    105,658.74x = 6,860,447,452.94
  5. Step 5: Solve for x
    x = 6,860,447,452.94/105,658.74
  6. Step 6: Final answer
    x = 64,930.24

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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.