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Finding the Fourth Proportional to 198,606.96, 274,047 and 118,004.64

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Solution

The fourth proportional to 198,606.96, 274,047 and 118,004.64 is: 162,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,606.96 : 274,047 = 118,004.64 : x
  2. Step 2: Convert to fraction form
    198,606.96/274,047 = 118,004.64/x
  3. Step 3: Cross multiply
    198,606.96x = 274,047 × 118,004.64
  4. Step 4: Simplify right side
    198,606.96x = 32,338,817,578.08
  5. Step 5: Solve for x
    x = 32,338,817,578.08/198,606.96
  6. Step 6: Final answer
    x = 162,828.22

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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.