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Finding the Fourth Proportional to 180,416.53, 248,978.87 and 116,864.92

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Solution

The fourth proportional to 180,416.53, 248,978.87 and 116,864.92 is: 161,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,416.53 : 248,978.87 = 116,864.92 : x
  2. Step 2: Convert to fraction form
    180,416.53/248,978.87 = 116,864.92/x
  3. Step 3: Cross multiply
    180,416.53x = 248,978.87 × 116,864.92
  4. Step 4: Simplify right side
    180,416.53x = 29,096,895,724.24
  5. Step 5: Solve for x
    x = 29,096,895,724.24/180,416.53
  6. Step 6: Final answer
    x = 161,276.22

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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.