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Finding the Fourth Proportional to 185,300.83, 255,742.57 and 117,324.13

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Solution

The fourth proportional to 185,300.83, 255,742.57 and 117,324.13 is: 161,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,300.83 : 255,742.57 = 117,324.13 : x
  2. Step 2: Convert to fraction form
    185,300.83/255,742.57 = 117,324.13/x
  3. Step 3: Cross multiply
    185,300.83x = 255,742.57 × 117,324.13
  4. Step 4: Simplify right side
    185,300.83x = 30,004,774,822.52
  5. Step 5: Solve for x
    x = 30,004,774,822.52/185,300.83
  6. Step 6: Final answer
    x = 161,924.67

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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.