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Finding the Fourth Proportional to 152,452.80, 228,938.40 and 113,054.40

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Solution

The fourth proportional to 152,452.80, 228,938.40 and 113,054.40 is: 169,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,452.80 : 228,938.40 = 113,054.40 : x
  2. Step 2: Convert to fraction form
    152,452.80/228,938.40 = 113,054.40/x
  3. Step 3: Cross multiply
    152,452.80x = 228,938.40 × 113,054.40
  4. Step 4: Simplify right side
    152,452.80x = 25,882,493,448.96
  5. Step 5: Solve for x
    x = 25,882,493,448.96/152,452.80
  6. Step 6: Final answer
    x = 169,773.81

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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.