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Finding the Fourth Proportional to 147,967, 204,202.64 and 84,292.60

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Solution

The fourth proportional to 147,967, 204,202.64 and 84,292.60 is: 116,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,967 : 204,202.64 = 84,292.60 : x
  2. Step 2: Convert to fraction form
    147,967/204,202.64 = 84,292.60/x
  3. Step 3: Cross multiply
    147,967x = 204,202.64 × 84,292.60
  4. Step 4: Simplify right side
    147,967x = 17,212,771,452.46
  5. Step 5: Solve for x
    x = 17,212,771,452.46/147,967
  6. Step 6: Final answer
    x = 116,328.45

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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.