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Finding the Fourth Proportional to 120,671.76, 181,009.68 and 41,788.32

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Solution

The fourth proportional to 120,671.76, 181,009.68 and 41,788.32 is: 62,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,671.76 : 181,009.68 = 41,788.32 : x
  2. Step 2: Convert to fraction form
    120,671.76/181,009.68 = 41,788.32/x
  3. Step 3: Cross multiply
    120,671.76x = 181,009.68 × 41,788.32
  4. Step 4: Simplify right side
    120,671.76x = 7,564,090,430.94
  5. Step 5: Solve for x
    x = 7,564,090,430.94/120,671.76
  6. Step 6: Final answer
    x = 62,683.19

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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.