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Finding the Fourth Proportional to 208,145.49, 287,240.27 and 112,652.25

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Solution

The fourth proportional to 208,145.49, 287,240.27 and 112,652.25 is: 155,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,145.49 : 287,240.27 = 112,652.25 : x
  2. Step 2: Convert to fraction form
    208,145.49/287,240.27 = 112,652.25/x
  3. Step 3: Cross multiply
    208,145.49x = 287,240.27 × 112,652.25
  4. Step 4: Simplify right side
    208,145.49x = 32,358,262,706.11
  5. Step 5: Solve for x
    x = 32,358,262,706.11/208,145.49
  6. Step 6: Final answer
    x = 155,459.83

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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.