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Finding the Fourth Proportional to 180,409.86, 248,963.14 and 99,832.48

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Solution

The fourth proportional to 180,409.86, 248,963.14 and 99,832.48 is: 137,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,409.86 : 248,963.14 = 99,832.48 : x
  2. Step 2: Convert to fraction form
    180,409.86/248,963.14 = 99,832.48/x
  3. Step 3: Cross multiply
    180,409.86x = 248,963.14 × 99,832.48
  4. Step 4: Simplify right side
    180,409.86x = 24,854,607,694.79
  5. Step 5: Solve for x
    x = 24,854,607,694.79/180,409.86
  6. Step 6: Final answer
    x = 137,767.46

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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.