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Finding the Fourth Proportional to 405,141.08, 607,711.90 and 105,620.90

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Solution

The fourth proportional to 405,141.08, 607,711.90 and 105,620.90 is: 158,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,141.08 : 607,711.90 = 105,620.90 : x
  2. Step 2: Convert to fraction form
    405,141.08/607,711.90 = 105,620.90/x
  3. Step 3: Cross multiply
    405,141.08x = 607,711.90 × 105,620.90
  4. Step 4: Simplify right side
    405,141.08x = 64,187,077,818.71
  5. Step 5: Solve for x
    x = 64,187,077,818.71/405,141.08
  6. Step 6: Final answer
    x = 158,431.42

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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.