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Finding the Fourth Proportional to 209,208.52, 288,708.77 and 113,715.16

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Solution

The fourth proportional to 209,208.52, 288,708.77 and 113,715.16 is: 156,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,208.52 : 288,708.77 = 113,715.16 : x
  2. Step 2: Convert to fraction form
    209,208.52/288,708.77 = 113,715.16/x
  3. Step 3: Cross multiply
    209,208.52x = 288,708.77 × 113,715.16
  4. Step 4: Simplify right side
    209,208.52x = 32,830,563,536.47
  5. Step 5: Solve for x
    x = 32,830,563,536.47/209,208.52
  6. Step 6: Final answer
    x = 156,927.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.