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Finding the Fourth Proportional to 260,878.54, 360,018.16 and 146,165.64

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Solution

The fourth proportional to 260,878.54, 360,018.16 and 146,165.64 is: 201,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,878.54 : 360,018.16 = 146,165.64 : x
  2. Step 2: Convert to fraction form
    260,878.54/360,018.16 = 146,165.64/x
  3. Step 3: Cross multiply
    260,878.54x = 360,018.16 × 146,165.64
  4. Step 4: Simplify right side
    260,878.54x = 52,622,284,768.02
  5. Step 5: Solve for x
    x = 52,622,284,768.02/260,878.54
  6. Step 6: Final answer
    x = 201,711.82

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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.