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Finding the Fourth Proportional to 132,984.32, 183,529.32 and 75,641.60

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Solution

The fourth proportional to 132,984.32, 183,529.32 and 75,641.60 is: 104,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,984.32 : 183,529.32 = 75,641.60 : x
  2. Step 2: Convert to fraction form
    132,984.32/183,529.32 = 75,641.60/x
  3. Step 3: Cross multiply
    132,984.32x = 183,529.32 × 75,641.60
  4. Step 4: Simplify right side
    132,984.32x = 13,882,451,411.71
  5. Step 5: Solve for x
    x = 13,882,451,411.71/132,984.32
  6. Step 6: Final answer
    x = 104,391.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.