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Finding the Fourth Proportional to 129,056.35, 193,509.16 and 50,078.33

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Solution

The fourth proportional to 129,056.35, 193,509.16 and 50,078.33 is: 75,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,056.35 : 193,509.16 = 50,078.33 : x
  2. Step 2: Convert to fraction form
    129,056.35/193,509.16 = 50,078.33/x
  3. Step 3: Cross multiply
    129,056.35x = 193,509.16 × 50,078.33
  4. Step 4: Simplify right side
    129,056.35x = 9,690,615,572.50
  5. Step 5: Solve for x
    x = 9,690,615,572.50/129,056.35
  6. Step 6: Final answer
    x = 75,088.25

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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.