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Finding the Fourth Proportional to 146,294, 201,894.36 and 82,630.16

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Solution

The fourth proportional to 146,294, 201,894.36 and 82,630.16 is: 114,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,294 : 201,894.36 = 82,630.16 : x
  2. Step 2: Convert to fraction form
    146,294/201,894.36 = 82,630.16/x
  3. Step 3: Cross multiply
    146,294x = 201,894.36 × 82,630.16
  4. Step 4: Simplify right side
    146,294x = 16,682,563,269.90
  5. Step 5: Solve for x
    x = 16,682,563,269.90/146,294
  6. Step 6: Final answer
    x = 114,034.50

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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.