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Finding the Fourth Proportional to 201,632.50, 302,448.75 and 70,304.50

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Solution

The fourth proportional to 201,632.50, 302,448.75 and 70,304.50 is: 105,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632.50 : 302,448.75 = 70,304.50 : x
  2. Step 2: Convert to fraction form
    201,632.50/302,448.75 = 70,304.50/x
  3. Step 3: Cross multiply
    201,632.50x = 302,448.75 × 70,304.50
  4. Step 4: Simplify right side
    201,632.50x = 21,263,508,144.38
  5. Step 5: Solve for x
    x = 21,263,508,144.38/201,632.50
  6. Step 6: Final answer
    x = 105,456.75

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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.