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Finding the Fourth Proportional to 456,094.02, 684,141.02 and 140,550.92

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Solution

The fourth proportional to 456,094.02, 684,141.02 and 140,550.92 is: 210,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,094.02 : 684,141.02 = 140,550.92 : x
  2. Step 2: Convert to fraction form
    456,094.02/684,141.02 = 140,550.92/x
  3. Step 3: Cross multiply
    456,094.02x = 684,141.02 × 140,550.92
  4. Step 4: Simplify right side
    456,094.02x = 96,156,649,770.74
  5. Step 5: Solve for x
    x = 96,156,649,770.74/456,094.02
  6. Step 6: Final answer
    x = 210,826.38

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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.