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Finding the Fourth Proportional to 184,547, 276,938.24 and 66,215.72

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Solution

The fourth proportional to 184,547, 276,938.24 and 66,215.72 is: 99,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,547 : 276,938.24 = 66,215.72 : x
  2. Step 2: Convert to fraction form
    184,547/276,938.24 = 66,215.72/x
  3. Step 3: Cross multiply
    184,547x = 276,938.24 × 66,215.72
  4. Step 4: Simplify right side
    184,547x = 18,337,664,957.13
  5. Step 5: Solve for x
    x = 18,337,664,957.13/184,547
  6. Step 6: Final answer
    x = 99,365.83

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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.