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Finding the Fourth Proportional to 195,298.50, 269,509.50 and 114,733.38

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Solution

The fourth proportional to 195,298.50, 269,509.50 and 114,733.38 is: 158,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,298.50 : 269,509.50 = 114,733.38 : x
  2. Step 2: Convert to fraction form
    195,298.50/269,509.50 = 114,733.38/x
  3. Step 3: Cross multiply
    195,298.50x = 269,509.50 × 114,733.38
  4. Step 4: Simplify right side
    195,298.50x = 30,921,735,877.11
  5. Step 5: Solve for x
    x = 30,921,735,877.11/195,298.50
  6. Step 6: Final answer
    x = 158,330.64

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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.