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Finding the Fourth Proportional to 369,092.96, 553,289.52 and 119,600

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Solution

The fourth proportional to 369,092.96, 553,289.52 and 119,600 is: 179,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,092.96 : 553,289.52 = 119,600 : x
  2. Step 2: Convert to fraction form
    369,092.96/553,289.52 = 119,600/x
  3. Step 3: Cross multiply
    369,092.96x = 553,289.52 × 119,600
  4. Step 4: Simplify right side
    369,092.96x = 66,173,426,592
  5. Step 5: Solve for x
    x = 66,173,426,592/369,092.96
  6. Step 6: Final answer
    x = 179,286.61

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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.