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Finding the Fourth Proportional to 186,893.73, 280,165.64 and 103,612.77

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Solution

The fourth proportional to 186,893.73, 280,165.64 and 103,612.77 is: 155,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,893.73 : 280,165.64 = 103,612.77 : x
  2. Step 2: Convert to fraction form
    186,893.73/280,165.64 = 103,612.77/x
  3. Step 3: Cross multiply
    186,893.73x = 280,165.64 × 103,612.77
  4. Step 4: Simplify right side
    186,893.73x = 29,028,737,501.16
  5. Step 5: Solve for x
    x = 29,028,737,501.16/186,893.73
  6. Step 6: Final answer
    x = 155,322.16

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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.