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Finding the Fourth Proportional to 186,462.73, 257,311.70 and 113,987.01

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Solution

The fourth proportional to 186,462.73, 257,311.70 and 113,987.01 is: 157,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,462.73 : 257,311.70 = 113,987.01 : x
  2. Step 2: Convert to fraction form
    186,462.73/257,311.70 = 113,987.01/x
  3. Step 3: Cross multiply
    186,462.73x = 257,311.70 × 113,987.01
  4. Step 4: Simplify right side
    186,462.73x = 29,330,192,784.63
  5. Step 5: Solve for x
    x = 29,330,192,784.63/186,462.73
  6. Step 6: Final answer
    x = 157,297.89

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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.