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Finding the Fourth Proportional to 152,406.80, 228,869.40 and 113,008.40

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Solution

The fourth proportional to 152,406.80, 228,869.40 and 113,008.40 is: 169,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,406.80 : 228,869.40 = 113,008.40 : x
  2. Step 2: Convert to fraction form
    152,406.80/228,869.40 = 113,008.40/x
  3. Step 3: Cross multiply
    152,406.80x = 228,869.40 × 113,008.40
  4. Step 4: Simplify right side
    152,406.80x = 25,864,164,702.96
  5. Step 5: Solve for x
    x = 25,864,164,702.96/152,406.80
  6. Step 6: Final answer
    x = 169,704.79

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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.