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Finding the Fourth Proportional to 265,966.50, 367,033.77 and 152,854.86

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Solution

The fourth proportional to 265,966.50, 367,033.77 and 152,854.86 is: 210,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,966.50 : 367,033.77 = 152,854.86 : x
  2. Step 2: Convert to fraction form
    265,966.50/367,033.77 = 152,854.86/x
  3. Step 3: Cross multiply
    265,966.50x = 367,033.77 × 152,854.86
  4. Step 4: Simplify right side
    265,966.50x = 56,102,895,528.62
  5. Step 5: Solve for x
    x = 56,102,895,528.62/265,966.50
  6. Step 6: Final answer
    x = 210,939.71

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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.