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Finding the Fourth Proportional to 301,931.09, 416,660.24 and 165,962.12

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Solution

The fourth proportional to 301,931.09, 416,660.24 and 165,962.12 is: 229,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,931.09 : 416,660.24 = 165,962.12 : x
  2. Step 2: Convert to fraction form
    301,931.09/416,660.24 = 165,962.12/x
  3. Step 3: Cross multiply
    301,931.09x = 416,660.24 × 165,962.12
  4. Step 4: Simplify right side
    301,931.09x = 69,149,816,750.11
  5. Step 5: Solve for x
    x = 69,149,816,750.11/301,931.09
  6. Step 6: Final answer
    x = 229,025.16

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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.