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Finding the Fourth Proportional to 208,281.78, 287,429.01 and 112,788.58

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Solution

The fourth proportional to 208,281.78, 287,429.01 and 112,788.58 is: 155,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,281.78 : 287,429.01 = 112,788.58 : x
  2. Step 2: Convert to fraction form
    208,281.78/287,429.01 = 112,788.58/x
  3. Step 3: Cross multiply
    208,281.78x = 287,429.01 × 112,788.58
  4. Step 4: Simplify right side
    208,281.78x = 32,418,709,888.71
  5. Step 5: Solve for x
    x = 32,418,709,888.71/208,281.78
  6. Step 6: Final answer
    x = 155,648.32

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Why These Related Problems?

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