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Finding the Fourth Proportional to 184,712.64, 254,903.06 and 99,829.50

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Solution

The fourth proportional to 184,712.64, 254,903.06 and 99,829.50 is: 137,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,712.64 : 254,903.06 = 99,829.50 : x
  2. Step 2: Convert to fraction form
    184,712.64/254,903.06 = 99,829.50/x
  3. Step 3: Cross multiply
    184,712.64x = 254,903.06 × 99,829.50
  4. Step 4: Simplify right side
    184,712.64x = 25,446,844,529.12
  5. Step 5: Solve for x
    x = 25,446,844,529.12/184,712.64
  6. Step 6: Final answer
    x = 137,764.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.