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Finding the Fourth Proportional to 174,633.84, 240,889.68 and 106,619.76

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Solution

The fourth proportional to 174,633.84, 240,889.68 and 106,619.76 is: 147,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,633.84 : 240,889.68 = 106,619.76 : x
  2. Step 2: Convert to fraction form
    174,633.84/240,889.68 = 106,619.76/x
  3. Step 3: Cross multiply
    174,633.84x = 240,889.68 × 106,619.76
  4. Step 4: Simplify right side
    174,633.84x = 25,683,599,868.08
  5. Step 5: Solve for x
    x = 25,683,599,868.08/174,633.84
  6. Step 6: Final answer
    x = 147,071.15

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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.