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Finding the Fourth Proportional to 178,240.50, 267,384.44 and 83,457.74

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Solution

The fourth proportional to 178,240.50, 267,384.44 and 83,457.74 is: 125,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,240.50 : 267,384.44 = 83,457.74 : x
  2. Step 2: Convert to fraction form
    178,240.50/267,384.44 = 83,457.74/x
  3. Step 3: Cross multiply
    178,240.50x = 267,384.44 × 83,457.74
  4. Step 4: Simplify right side
    178,240.50x = 22,315,301,950.67
  5. Step 5: Solve for x
    x = 22,315,301,950.67/178,240.50
  6. Step 6: Final answer
    x = 125,197.71

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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.