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Finding the Fourth Proportional to 201,612.95, 302,419.43 and 164,288.15

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Solution

The fourth proportional to 201,612.95, 302,419.43 and 164,288.15 is: 246,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,612.95 : 302,419.43 = 164,288.15 : x
  2. Step 2: Convert to fraction form
    201,612.95/302,419.43 = 164,288.15/x
  3. Step 3: Cross multiply
    201,612.95x = 302,419.43 × 164,288.15
  4. Step 4: Simplify right side
    201,612.95x = 49,683,928,678.75
  5. Step 5: Solve for x
    x = 49,683,928,678.75/201,612.95
  6. Step 6: Final answer
    x = 246,432.23

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Why These Related Problems?

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