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Finding the Fourth Proportional to 186,595.98, 257,493.15 and 106,012.86

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Solution

The fourth proportional to 186,595.98, 257,493.15 and 106,012.86 is: 146,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,595.98 : 257,493.15 = 106,012.86 : x
  2. Step 2: Convert to fraction form
    186,595.98/257,493.15 = 106,012.86/x
  3. Step 3: Cross multiply
    186,595.98x = 257,493.15 × 106,012.86
  4. Step 4: Simplify right side
    186,595.98x = 27,297,585,261.91
  5. Step 5: Solve for x
    x = 27,297,585,261.91/186,595.98
  6. Step 6: Final answer
    x = 146,292.46

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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.