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Finding the Fourth Proportional to 201,346.95, 301,831.80 and 68,133.95

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Solution

The fourth proportional to 201,346.95, 301,831.80 and 68,133.95 is: 102,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,346.95 : 301,831.80 = 68,133.95 : x
  2. Step 2: Convert to fraction form
    201,346.95/301,831.80 = 68,133.95/x
  3. Step 3: Cross multiply
    201,346.95x = 301,831.80 × 68,133.95
  4. Step 4: Simplify right side
    201,346.95x = 20,564,992,769.61
  5. Step 5: Solve for x
    x = 20,564,992,769.61/201,346.95
  6. Step 6: Final answer
    x = 102,137.10

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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.