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Finding the Fourth Proportional to 193,235.10, 289,852.65 and 146,579.10

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Solution

The fourth proportional to 193,235.10, 289,852.65 and 146,579.10 is: 219,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,235.10 : 289,852.65 = 146,579.10 : x
  2. Step 2: Convert to fraction form
    193,235.10/289,852.65 = 146,579.10/x
  3. Step 3: Cross multiply
    193,235.10x = 289,852.65 × 146,579.10
  4. Step 4: Simplify right side
    193,235.10x = 42,486,340,569.62
  5. Step 5: Solve for x
    x = 42,486,340,569.62/193,235.10
  6. Step 6: Final answer
    x = 219,868.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.