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Finding the Fourth Proportional to 302,871.82, 453,805.53 and 184,184.14

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Solution

The fourth proportional to 302,871.82, 453,805.53 and 184,184.14 is: 275,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,871.82 : 453,805.53 = 184,184.14 : x
  2. Step 2: Convert to fraction form
    302,871.82/453,805.53 = 184,184.14/x
  3. Step 3: Cross multiply
    302,871.82x = 453,805.53 × 184,184.14
  4. Step 4: Simplify right side
    302,871.82x = 83,583,781,270.29
  5. Step 5: Solve for x
    x = 83,583,781,270.29/302,871.82
  6. Step 6: Final answer
    x = 275,970.81

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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.