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Finding the Fourth Proportional to 184,200.64, 276,005.64 and 166,486

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Solution

The fourth proportional to 184,200.64, 276,005.64 and 166,486 is: 249,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,200.64 : 276,005.64 = 166,486 : x
  2. Step 2: Convert to fraction form
    184,200.64/276,005.64 = 166,486/x
  3. Step 3: Cross multiply
    184,200.64x = 276,005.64 × 166,486
  4. Step 4: Simplify right side
    184,200.64x = 45,951,074,981.04
  5. Step 5: Solve for x
    x = 45,951,074,981.04/184,200.64
  6. Step 6: Final answer
    x = 249,462.08

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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.