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Finding the Fourth Proportional to 208,281.36, 287,429.16 and 112,788.14

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Solution

The fourth proportional to 208,281.36, 287,429.16 and 112,788.14 is: 155,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,281.36 : 287,429.16 = 112,788.14 : x
  2. Step 2: Convert to fraction form
    208,281.36/287,429.16 = 112,788.14/x
  3. Step 3: Cross multiply
    208,281.36x = 287,429.16 × 112,788.14
  4. Step 4: Simplify right side
    208,281.36x = 32,418,598,901.02
  5. Step 5: Solve for x
    x = 32,418,598,901.02/208,281.36
  6. Step 6: Final answer
    x = 155,648.10

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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.