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Finding the Fourth Proportional to 122,582.96, 183,903.96 and 42,609.32

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Solution

The fourth proportional to 122,582.96, 183,903.96 and 42,609.32 is: 63,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,582.96 : 183,903.96 = 42,609.32 : x
  2. Step 2: Convert to fraction form
    122,582.96/183,903.96 = 42,609.32/x
  3. Step 3: Cross multiply
    122,582.96x = 183,903.96 × 42,609.32
  4. Step 4: Simplify right side
    122,582.96x = 7,836,022,680.91
  5. Step 5: Solve for x
    x = 7,836,022,680.91/122,582.96
  6. Step 6: Final answer
    x = 63,924.24

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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.