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Finding the Fourth Proportional to 224,025.84, 336,027.60 and 83,774.16

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Solution

The fourth proportional to 224,025.84, 336,027.60 and 83,774.16 is: 125,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,025.84 : 336,027.60 = 83,774.16 : x
  2. Step 2: Convert to fraction form
    224,025.84/336,027.60 = 83,774.16/x
  3. Step 3: Cross multiply
    224,025.84x = 336,027.60 × 83,774.16
  4. Step 4: Simplify right side
    224,025.84x = 28,150,429,926.82
  5. Step 5: Solve for x
    x = 28,150,429,926.82/224,025.84
  6. Step 6: Final answer
    x = 125,657.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.