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Finding the Fourth Proportional to 231,333.80, 346,611.90 and 152,407.40

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Solution

The fourth proportional to 231,333.80, 346,611.90 and 152,407.40 is: 228,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,333.80 : 346,611.90 = 152,407.40 : x
  2. Step 2: Convert to fraction form
    231,333.80/346,611.90 = 152,407.40/x
  3. Step 3: Cross multiply
    231,333.80x = 346,611.90 × 152,407.40
  4. Step 4: Simplify right side
    231,333.80x = 52,826,218,488.06
  5. Step 5: Solve for x
    x = 52,826,218,488.06/231,333.80
  6. Step 6: Final answer
    x = 228,354.95

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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.