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Finding the Fourth Proportional to 185,666.81, 278,250.68 and 101,300.51

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Solution

The fourth proportional to 185,666.81, 278,250.68 and 101,300.51 is: 151,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,666.81 : 278,250.68 = 101,300.51 : x
  2. Step 2: Convert to fraction form
    185,666.81/278,250.68 = 101,300.51/x
  3. Step 3: Cross multiply
    185,666.81x = 278,250.68 × 101,300.51
  4. Step 4: Simplify right side
    185,666.81x = 28,186,933,894.09
  5. Step 5: Solve for x
    x = 28,186,933,894.09/185,666.81
  6. Step 6: Final answer
    x = 151,814.61

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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.