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Finding the Fourth Proportional to 189,802.86, 261,927.92 and 103,762.20

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Solution

The fourth proportional to 189,802.86, 261,927.92 and 103,762.20 is: 143,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,802.86 : 261,927.92 = 103,762.20 : x
  2. Step 2: Convert to fraction form
    189,802.86/261,927.92 = 103,762.20/x
  3. Step 3: Cross multiply
    189,802.86x = 261,927.92 × 103,762.20
  4. Step 4: Simplify right side
    189,802.86x = 27,178,217,220.62
  5. Step 5: Solve for x
    x = 27,178,217,220.62/189,802.86
  6. Step 6: Final answer
    x = 143,191.82

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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.