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Finding the Fourth Proportional to 282,695.94, 390,103.92 and 155,371.64

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Solution

The fourth proportional to 282,695.94, 390,103.92 and 155,371.64 is: 214,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,695.94 : 390,103.92 = 155,371.64 : x
  2. Step 2: Convert to fraction form
    282,695.94/390,103.92 = 155,371.64/x
  3. Step 3: Cross multiply
    282,695.94x = 390,103.92 × 155,371.64
  4. Step 4: Simplify right side
    282,695.94x = 60,611,085,820.83
  5. Step 5: Solve for x
    x = 60,611,085,820.83/282,695.94
  6. Step 6: Final answer
    x = 214,403.81

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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.