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Finding the Fourth Proportional to 177,969.21, 266,977.31 and 65,728.32

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Solution

The fourth proportional to 177,969.21, 266,977.31 and 65,728.32 is: 98,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,969.21 : 266,977.31 = 65,728.32 : x
  2. Step 2: Convert to fraction form
    177,969.21/266,977.31 = 65,728.32/x
  3. Step 3: Cross multiply
    177,969.21x = 266,977.31 × 65,728.32
  4. Step 4: Simplify right side
    177,969.21x = 17,547,969,735.78
  5. Step 5: Solve for x
    x = 17,547,969,735.78/177,969.21
  6. Step 6: Final answer
    x = 98,601.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.