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Finding the Fourth Proportional to 186,762.22, 280,142.71 and 111,904.85

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Solution

The fourth proportional to 186,762.22, 280,142.71 and 111,904.85 is: 167,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,762.22 : 280,142.71 = 111,904.85 : x
  2. Step 2: Convert to fraction form
    186,762.22/280,142.71 = 111,904.85/x
  3. Step 3: Cross multiply
    186,762.22x = 280,142.71 × 111,904.85
  4. Step 4: Simplify right side
    186,762.22x = 31,349,327,941.14
  5. Step 5: Solve for x
    x = 31,349,327,941.14/186,762.22
  6. Step 6: Final answer
    x = 167,856.90

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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.