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Finding the Fourth Proportional to 277,999.02, 417,030.93 and 100,589.58

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Solution

The fourth proportional to 277,999.02, 417,030.93 and 100,589.58 is: 150,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,999.02 : 417,030.93 = 100,589.58 : x
  2. Step 2: Convert to fraction form
    277,999.02/417,030.93 = 100,589.58/x
  3. Step 3: Cross multiply
    277,999.02x = 417,030.93 × 100,589.58
  4. Step 4: Simplify right side
    277,999.02x = 41,948,966,095.71
  5. Step 5: Solve for x
    x = 41,948,966,095.71/277,999.02
  6. Step 6: Final answer
    x = 150,896.09

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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.