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Finding the Fourth Proportional to 170,775.84, 235,822.34 and 106,355.68

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Solution

The fourth proportional to 170,775.84, 235,822.34 and 106,355.68 is: 146,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,775.84 : 235,822.34 = 106,355.68 : x
  2. Step 2: Convert to fraction form
    170,775.84/235,822.34 = 106,355.68/x
  3. Step 3: Cross multiply
    170,775.84x = 235,822.34 × 106,355.68
  4. Step 4: Simplify right side
    170,775.84x = 25,081,045,329.89
  5. Step 5: Solve for x
    x = 25,081,045,329.89/170,775.84
  6. Step 6: Final answer
    x = 146,865.30

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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.