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Finding the Fourth Proportional to 208,950.55, 288,352.84 and 113,457.22

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Solution

The fourth proportional to 208,950.55, 288,352.84 and 113,457.22 is: 156,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,950.55 : 288,352.84 = 113,457.22 : x
  2. Step 2: Convert to fraction form
    208,950.55/288,352.84 = 113,457.22/x
  3. Step 3: Cross multiply
    208,950.55x = 288,352.84 × 113,457.22
  4. Step 4: Simplify right side
    208,950.55x = 32,715,711,605.50
  5. Step 5: Solve for x
    x = 32,715,711,605.50/208,950.55
  6. Step 6: Final answer
    x = 156,571.55

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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.