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Finding the Fourth Proportional to 199,534.35, 299,301.53 and 184,327.95

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Solution

The fourth proportional to 199,534.35, 299,301.53 and 184,327.95 is: 276,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,534.35 : 299,301.53 = 184,327.95 : x
  2. Step 2: Convert to fraction form
    199,534.35/299,301.53 = 184,327.95/x
  3. Step 3: Cross multiply
    199,534.35x = 299,301.53 × 184,327.95
  4. Step 4: Simplify right side
    199,534.35x = 55,169,636,535.12
  5. Step 5: Solve for x
    x = 55,169,636,535.12/199,534.35
  6. Step 6: Final answer
    x = 276,491.93

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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.