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Finding the Fourth Proportional to 212,497.96, 318,528.24 and 94,225

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Solution

The fourth proportional to 212,497.96, 318,528.24 and 94,225 is: 141,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,497.96 : 318,528.24 = 94,225 : x
  2. Step 2: Convert to fraction form
    212,497.96/318,528.24 = 94,225/x
  3. Step 3: Cross multiply
    212,497.96x = 318,528.24 × 94,225
  4. Step 4: Simplify right side
    212,497.96x = 30,013,323,414
  5. Step 5: Solve for x
    x = 30,013,323,414/212,497.96
  6. Step 6: Final answer
    x = 141,240.52

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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.