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Finding the Fourth Proportional to 184,776.96, 254,992.14 and 99,894

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Solution

The fourth proportional to 184,776.96, 254,992.14 and 99,894 is: 137,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,776.96 : 254,992.14 = 99,894 : x
  2. Step 2: Convert to fraction form
    184,776.96/254,992.14 = 99,894/x
  3. Step 3: Cross multiply
    184,776.96x = 254,992.14 × 99,894
  4. Step 4: Simplify right side
    184,776.96x = 25,472,184,833.16
  5. Step 5: Solve for x
    x = 25,472,184,833.16/184,776.96
  6. Step 6: Final answer
    x = 137,853.68

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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.