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Finding the Fourth Proportional to 142,457.59, 213,680.44 and 37,274.23

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Solution

The fourth proportional to 142,457.59, 213,680.44 and 37,274.23 is: 55,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,457.59 : 213,680.44 = 37,274.23 : x
  2. Step 2: Convert to fraction form
    142,457.59/213,680.44 = 37,274.23/x
  3. Step 3: Cross multiply
    142,457.59x = 213,680.44 × 37,274.23
  4. Step 4: Simplify right side
    142,457.59x = 7,964,773,867.06
  5. Step 5: Solve for x
    x = 7,964,773,867.06/142,457.59
  6. Step 6: Final answer
    x = 55,909.79

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1.5x scale

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.