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Finding the Fourth Proportional to 224,094, 336,141.12 and 57,882

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Solution

The fourth proportional to 224,094, 336,141.12 and 57,882 is: 86,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,094 : 336,141.12 = 57,882 : x
  2. Step 2: Convert to fraction form
    224,094/336,141.12 = 57,882/x
  3. Step 3: Cross multiply
    224,094x = 336,141.12 × 57,882
  4. Step 4: Simplify right side
    224,094x = 19,456,520,307.84
  5. Step 5: Solve for x
    x = 19,456,520,307.84/224,094
  6. Step 6: Final answer
    x = 86,823.03

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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.