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Finding the Fourth Proportional to 184,462.87, 277,063.05 and 178,409.74

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Solution

The fourth proportional to 184,462.87, 277,063.05 and 178,409.74 is: 267,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,462.87 : 277,063.05 = 178,409.74 : x
  2. Step 2: Convert to fraction form
    184,462.87/277,063.05 = 178,409.74/x
  3. Step 3: Cross multiply
    184,462.87x = 277,063.05 × 178,409.74
  4. Step 4: Simplify right side
    184,462.87x = 49,430,746,714.11
  5. Step 5: Solve for x
    x = 49,430,746,714.11/184,462.87
  6. Step 6: Final answer
    x = 267,971.25

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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.