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Finding the Fourth Proportional to 212,072.84, 292,660.84 and 116,580.12

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Solution

The fourth proportional to 212,072.84, 292,660.84 and 116,580.12 is: 160,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,072.84 : 292,660.84 = 116,580.12 : x
  2. Step 2: Convert to fraction form
    212,072.84/292,660.84 = 116,580.12/x
  3. Step 3: Cross multiply
    212,072.84x = 292,660.84 × 116,580.12
  4. Step 4: Simplify right side
    212,072.84x = 34,118,435,846.50
  5. Step 5: Solve for x
    x = 34,118,435,846.50/212,072.84
  6. Step 6: Final answer
    x = 160,880.74

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1.5x scale

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.