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Finding the Fourth Proportional to 103,643.90, 155,206.65 and 82,907.90

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Solution

The fourth proportional to 103,643.90, 155,206.65 and 82,907.90 is: 124,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,643.90 : 155,206.65 = 82,907.90 : x
  2. Step 2: Convert to fraction form
    103,643.90/155,206.65 = 82,907.90/x
  3. Step 3: Cross multiply
    103,643.90x = 155,206.65 × 82,907.90
  4. Step 4: Simplify right side
    103,643.90x = 12,867,857,417.54
  5. Step 5: Solve for x
    x = 12,867,857,417.54/103,643.90
  6. Step 6: Final answer
    x = 124,154.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.