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Finding the Fourth Proportional to 208,810.66, 288,158.90 and 113,317.36

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Solution

The fourth proportional to 208,810.66, 288,158.90 and 113,317.36 is: 156,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,810.66 : 288,158.90 = 113,317.36 : x
  2. Step 2: Convert to fraction form
    208,810.66/288,158.90 = 113,317.36/x
  3. Step 3: Cross multiply
    208,810.66x = 288,158.90 × 113,317.36
  4. Step 4: Simplify right side
    208,810.66x = 32,653,403,801.12
  5. Step 5: Solve for x
    x = 32,653,403,801.12/208,810.66
  6. Step 6: Final answer
    x = 156,378.05

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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.