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Finding the Fourth Proportional to 150,000.58, 207,007.23 and 82,013.50

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Solution

The fourth proportional to 150,000.58, 207,007.23 and 82,013.50 is: 113,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,000.58 : 207,007.23 = 82,013.50 : x
  2. Step 2: Convert to fraction form
    150,000.58/207,007.23 = 82,013.50/x
  3. Step 3: Cross multiply
    150,000.58x = 207,007.23 × 82,013.50
  4. Step 4: Simplify right side
    150,000.58x = 16,977,387,457.61
  5. Step 5: Solve for x
    x = 16,977,387,457.61/150,000.58
  6. Step 6: Final answer
    x = 113,182.15

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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.