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Finding the Fourth Proportional to 193,046.10, 289,569.15 and 146,390.10

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Solution

The fourth proportional to 193,046.10, 289,569.15 and 146,390.10 is: 219,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,046.10 : 289,569.15 = 146,390.10 : x
  2. Step 2: Convert to fraction form
    193,046.10/289,569.15 = 146,390.10/x
  3. Step 3: Cross multiply
    193,046.10x = 289,569.15 × 146,390.10
  4. Step 4: Simplify right side
    193,046.10x = 42,390,056,825.42
  5. Step 5: Solve for x
    x = 42,390,056,825.42/193,046.10
  6. Step 6: Final answer
    x = 219,585.15

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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.