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Finding the Fourth Proportional to 282,712.29, 424,067.58 and 114,230.63

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Solution

The fourth proportional to 282,712.29, 424,067.58 and 114,230.63 is: 171,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,712.29 : 424,067.58 = 114,230.63 : x
  2. Step 2: Convert to fraction form
    282,712.29/424,067.58 = 114,230.63/x
  3. Step 3: Cross multiply
    282,712.29x = 424,067.58 × 114,230.63
  4. Step 4: Simplify right side
    282,712.29x = 48,441,506,372.18
  5. Step 5: Solve for x
    x = 48,441,506,372.18/282,712.29
  6. Step 6: Final answer
    x = 171,345.60

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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.