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Finding the Fourth Proportional to 152,658.80, 228,950.87 and 119,296.12

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Solution

The fourth proportional to 152,658.80, 228,950.87 and 119,296.12 is: 178,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,658.80 : 228,950.87 = 119,296.12 : x
  2. Step 2: Convert to fraction form
    152,658.80/228,950.87 = 119,296.12/x
  3. Step 3: Cross multiply
    152,658.80x = 228,950.87 × 119,296.12
  4. Step 4: Simplify right side
    152,658.80x = 27,312,948,720.39
  5. Step 5: Solve for x
    x = 27,312,948,720.39/152,658.80
  6. Step 6: Final answer
    x = 178,915.00

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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.