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Finding the Fourth Proportional to 265,188.64, 365,896.46 and 156,297.32

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Solution

The fourth proportional to 265,188.64, 365,896.46 and 156,297.32 is: 215,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,188.64 : 365,896.46 = 156,297.32 : x
  2. Step 2: Convert to fraction form
    265,188.64/365,896.46 = 156,297.32/x
  3. Step 3: Cross multiply
    265,188.64x = 365,896.46 × 156,297.32
  4. Step 4: Simplify right side
    265,188.64x = 57,188,636,095.49
  5. Step 5: Solve for x
    x = 57,188,636,095.49/265,188.64
  6. Step 6: Final answer
    x = 215,652.66

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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.