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Finding the Fourth Proportional to 164,031.86, 245,149.02 and 119,751.86

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Solution

The fourth proportional to 164,031.86, 245,149.02 and 119,751.86 is: 178,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,031.86 : 245,149.02 = 119,751.86 : x
  2. Step 2: Convert to fraction form
    164,031.86/245,149.02 = 119,751.86/x
  3. Step 3: Cross multiply
    164,031.86x = 245,149.02 × 119,751.86
  4. Step 4: Simplify right side
    164,031.86x = 29,357,049,896.43
  5. Step 5: Solve for x
    x = 29,357,049,896.43/164,031.86
  6. Step 6: Final answer
    x = 178,971.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.