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Finding the Fourth Proportional to 184,473.69, 276,710.61 and 142,415.18

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Solution

The fourth proportional to 184,473.69, 276,710.61 and 142,415.18 is: 213,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,473.69 : 276,710.61 = 142,415.18 : x
  2. Step 2: Convert to fraction form
    184,473.69/276,710.61 = 142,415.18/x
  3. Step 3: Cross multiply
    184,473.69x = 276,710.61 × 142,415.18
  4. Step 4: Simplify right side
    184,473.69x = 39,407,789,947.51
  5. Step 5: Solve for x
    x = 39,407,789,947.51/184,473.69
  6. Step 6: Final answer
    x = 213,622.82

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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.