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Finding the Fourth Proportional to 113,627.84, 157,089.85 and 85,284.32

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Solution

The fourth proportional to 113,627.84, 157,089.85 and 85,284.32 is: 117,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,627.84 : 157,089.85 = 85,284.32 : x
  2. Step 2: Convert to fraction form
    113,627.84/157,089.85 = 85,284.32/x
  3. Step 3: Cross multiply
    113,627.84x = 157,089.85 × 85,284.32
  4. Step 4: Simplify right side
    113,627.84x = 13,397,300,037.49
  5. Step 5: Solve for x
    x = 13,397,300,037.49/113,627.84
  6. Step 6: Final answer
    x = 117,905.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.