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Finding the Fourth Proportional to 231,295.56, 319,091.14 and 180,219.60

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Solution

The fourth proportional to 231,295.56, 319,091.14 and 180,219.60 is: 248,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,295.56 : 319,091.14 = 180,219.60 : x
  2. Step 2: Convert to fraction form
    231,295.56/319,091.14 = 180,219.60/x
  3. Step 3: Cross multiply
    231,295.56x = 319,091.14 × 180,219.60
  4. Step 4: Simplify right side
    231,295.56x = 57,506,477,614.34
  5. Step 5: Solve for x
    x = 57,506,477,614.34/231,295.56
  6. Step 6: Final answer
    x = 248,627.68

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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.