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Finding the Fourth Proportional to 146,291.36, 201,881 and 82,641.60

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Solution

The fourth proportional to 146,291.36, 201,881 and 82,641.60 is: 114,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,291.36 : 201,881 = 82,641.60 : x
  2. Step 2: Convert to fraction form
    146,291.36/201,881 = 82,641.60/x
  3. Step 3: Cross multiply
    146,291.36x = 201,881 × 82,641.60
  4. Step 4: Simplify right side
    146,291.36x = 16,683,768,849.60
  5. Step 5: Solve for x
    x = 16,683,768,849.60/146,291.36
  6. Step 6: Final answer
    x = 114,044.80

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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.