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Finding the Fourth Proportional to 208,868.40, 288,237.42 and 113,374.26

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Solution

The fourth proportional to 208,868.40, 288,237.42 and 113,374.26 is: 156,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,868.40 : 288,237.42 = 113,374.26 : x
  2. Step 2: Convert to fraction form
    208,868.40/288,237.42 = 113,374.26/x
  3. Step 3: Cross multiply
    208,868.40x = 288,237.42 × 113,374.26
  4. Step 4: Simplify right side
    208,868.40x = 32,678,704,196.81
  5. Step 5: Solve for x
    x = 32,678,704,196.81/208,868.40
  6. Step 6: Final answer
    x = 156,455.95

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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.