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Finding the Fourth Proportional to 153,912.80, 230,847.60 and 48,742.40

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Solution

The fourth proportional to 153,912.80, 230,847.60 and 48,742.40 is: 73,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,912.80 : 230,847.60 = 48,742.40 : x
  2. Step 2: Convert to fraction form
    153,912.80/230,847.60 = 48,742.40/x
  3. Step 3: Cross multiply
    153,912.80x = 230,847.60 × 48,742.40
  4. Step 4: Simplify right side
    153,912.80x = 11,252,066,058.24
  5. Step 5: Solve for x
    x = 11,252,066,058.24/153,912.80
  6. Step 6: Final answer
    x = 73,106.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.