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Finding the Fourth Proportional to 198,683.04, 274,184.56 and 113,798.32

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Solution

The fourth proportional to 198,683.04, 274,184.56 and 113,798.32 is: 157,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,683.04 : 274,184.56 = 113,798.32 : x
  2. Step 2: Convert to fraction form
    198,683.04/274,184.56 = 113,798.32/x
  3. Step 3: Cross multiply
    198,683.04x = 274,184.56 × 113,798.32
  4. Step 4: Simplify right side
    198,683.04x = 31,201,742,297.94
  5. Step 5: Solve for x
    x = 31,201,742,297.94/198,683.04
  6. Step 6: Final answer
    x = 157,042.81

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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.