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Finding the Fourth Proportional to 342,533.52, 513,849.51 and 105,894.66

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Solution

The fourth proportional to 342,533.52, 513,849.51 and 105,894.66 is: 158,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,533.52 : 513,849.51 = 105,894.66 : x
  2. Step 2: Convert to fraction form
    342,533.52/513,849.51 = 105,894.66/x
  3. Step 3: Cross multiply
    342,533.52x = 513,849.51 × 105,894.66
  4. Step 4: Simplify right side
    342,533.52x = 54,413,919,152.62
  5. Step 5: Solve for x
    x = 54,413,919,152.62/342,533.52
  6. Step 6: Final answer
    x = 158,857.21

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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.