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Finding the Fourth Proportional to 342,019.02, 513,049.69 and 114,335.13

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Solution

The fourth proportional to 342,019.02, 513,049.69 and 114,335.13 is: 171,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,019.02 : 513,049.69 = 114,335.13 : x
  2. Step 2: Convert to fraction form
    342,019.02/513,049.69 = 114,335.13/x
  3. Step 3: Cross multiply
    342,019.02x = 513,049.69 × 114,335.13
  4. Step 4: Simplify right side
    342,019.02x = 58,659,602,716.77
  5. Step 5: Solve for x
    x = 58,659,602,716.77/342,019.02
  6. Step 6: Final answer
    x = 171,509.77

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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.