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Finding the Fourth Proportional to 113,823.50, 157,076.52 and 63,522.50

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Solution

The fourth proportional to 113,823.50, 157,076.52 and 63,522.50 is: 87,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,823.50 : 157,076.52 = 63,522.50 : x
  2. Step 2: Convert to fraction form
    113,823.50/157,076.52 = 63,522.50/x
  3. Step 3: Cross multiply
    113,823.50x = 157,076.52 × 63,522.50
  4. Step 4: Simplify right side
    113,823.50x = 9,977,893,241.70
  5. Step 5: Solve for x
    x = 9,977,893,241.70/113,823.50
  6. Step 6: Final answer
    x = 87,661.10

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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.