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Finding the Fourth Proportional to 205,095.91, 283,031.82 and 114,450.91

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Solution

The fourth proportional to 205,095.91, 283,031.82 and 114,450.91 is: 157,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,095.91 : 283,031.82 = 114,450.91 : x
  2. Step 2: Convert to fraction form
    205,095.91/283,031.82 = 114,450.91/x
  3. Step 3: Cross multiply
    205,095.91x = 283,031.82 × 114,450.91
  4. Step 4: Simplify right side
    205,095.91x = 32,393,249,357.96
  5. Step 5: Solve for x
    x = 32,393,249,357.96/205,095.91
  6. Step 6: Final answer
    x = 157,941.96

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1.5x scale

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.