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Finding the Fourth Proportional to 176,851.64, 244,017.42 and 105,217.67

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Solution

The fourth proportional to 176,851.64, 244,017.42 and 105,217.67 is: 145,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,851.64 : 244,017.42 = 105,217.67 : x
  2. Step 2: Convert to fraction form
    176,851.64/244,017.42 = 105,217.67/x
  3. Step 3: Cross multiply
    176,851.64x = 244,017.42 × 105,217.67
  4. Step 4: Simplify right side
    176,851.64x = 25,674,944,371.81
  5. Step 5: Solve for x
    x = 25,674,944,371.81/176,851.64
  6. Step 6: Final answer
    x = 145,177.87

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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.