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Finding the Fourth Proportional to 180,420.16, 248,982.08 and 99,847.48

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Solution

The fourth proportional to 180,420.16, 248,982.08 and 99,847.48 is: 137,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,420.16 : 248,982.08 = 99,847.48 : x
  2. Step 2: Convert to fraction form
    180,420.16/248,982.08 = 99,847.48/x
  3. Step 3: Cross multiply
    180,420.16x = 248,982.08 × 99,847.48
  4. Step 4: Simplify right side
    180,420.16x = 24,860,233,253.16
  5. Step 5: Solve for x
    x = 24,860,233,253.16/180,420.16
  6. Step 6: Final answer
    x = 137,790.77

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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.