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Finding the Fourth Proportional to 184,957.43, 277,438.50 and 65,009.54

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Solution

The fourth proportional to 184,957.43, 277,438.50 and 65,009.54 is: 97,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,957.43 : 277,438.50 = 65,009.54 : x
  2. Step 2: Convert to fraction form
    184,957.43/277,438.50 = 65,009.54/x
  3. Step 3: Cross multiply
    184,957.43x = 277,438.50 × 65,009.54
  4. Step 4: Simplify right side
    184,957.43x = 18,036,149,263.29
  5. Step 5: Solve for x
    x = 18,036,149,263.29/184,957.43
  6. Step 6: Final answer
    x = 97,515.14

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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.