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Finding the Fourth Proportional to 208,952.88, 288,347.52 and 113,457.60

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Solution

The fourth proportional to 208,952.88, 288,347.52 and 113,457.60 is: 156,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,952.88 : 288,347.52 = 113,457.60 : x
  2. Step 2: Convert to fraction form
    208,952.88/288,347.52 = 113,457.60/x
  3. Step 3: Cross multiply
    208,952.88x = 288,347.52 × 113,457.60
  4. Step 4: Simplify right side
    208,952.88x = 32,715,217,585.15
  5. Step 5: Solve for x
    x = 32,715,217,585.15/208,952.88
  6. Step 6: Final answer
    x = 156,567.44

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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.