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Finding the Fourth Proportional to 282,334.95, 423,412.52 and 92,751.32

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Solution

The fourth proportional to 282,334.95, 423,412.52 and 92,751.32 is: 139,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,334.95 : 423,412.52 = 92,751.32 : x
  2. Step 2: Convert to fraction form
    282,334.95/423,412.52 = 92,751.32/x
  3. Step 3: Cross multiply
    282,334.95x = 423,412.52 × 92,751.32
  4. Step 4: Simplify right side
    282,334.95x = 39,272,067,553.71
  5. Step 5: Solve for x
    x = 39,272,067,553.71/282,334.95
  6. Step 6: Final answer
    x = 139,097.44

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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.