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Finding the Fourth Proportional to 183,046.86, 274,465.13 and 97,552.44

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Solution

The fourth proportional to 183,046.86, 274,465.13 and 97,552.44 is: 146,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,046.86 : 274,465.13 = 97,552.44 : x
  2. Step 2: Convert to fraction form
    183,046.86/274,465.13 = 97,552.44/x
  3. Step 3: Cross multiply
    183,046.86x = 274,465.13 × 97,552.44
  4. Step 4: Simplify right side
    183,046.86x = 26,774,742,638.66
  5. Step 5: Solve for x
    x = 26,774,742,638.66/183,046.86
  6. Step 6: Final answer
    x = 146,272.61

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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.