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Finding the Fourth Proportional to 119,133.86, 178,648.31 and 55,971.93

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Solution

The fourth proportional to 119,133.86, 178,648.31 and 55,971.93 is: 83,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,133.86 : 178,648.31 = 55,971.93 : x
  2. Step 2: Convert to fraction form
    119,133.86/178,648.31 = 55,971.93/x
  3. Step 3: Cross multiply
    119,133.86x = 178,648.31 × 55,971.93
  4. Step 4: Simplify right side
    119,133.86x = 9,999,290,422.08
  5. Step 5: Solve for x
    x = 9,999,290,422.08/119,133.86
  6. Step 6: Final answer
    x = 83,933.24

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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.