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Finding the Fourth Proportional to 402,564.60, 603,846.90 and 122,095.80

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Solution

The fourth proportional to 402,564.60, 603,846.90 and 122,095.80 is: 183,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,564.60 : 603,846.90 = 122,095.80 : x
  2. Step 2: Convert to fraction form
    402,564.60/603,846.90 = 122,095.80/x
  3. Step 3: Cross multiply
    402,564.60x = 603,846.90 × 122,095.80
  4. Step 4: Simplify right side
    402,564.60x = 73,727,170,333.02
  5. Step 5: Solve for x
    x = 73,727,170,333.02/402,564.60
  6. Step 6: Final answer
    x = 183,143.70

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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.