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Finding the Fourth Proportional to 201,788.04, 302,202.54 and 101,633.16

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Solution

The fourth proportional to 201,788.04, 302,202.54 and 101,633.16 is: 152,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,788.04 : 302,202.54 = 101,633.16 : x
  2. Step 2: Convert to fraction form
    201,788.04/302,202.54 = 101,633.16/x
  3. Step 3: Cross multiply
    201,788.04x = 302,202.54 × 101,633.16
  4. Step 4: Simplify right side
    201,788.04x = 30,713,799,100.23
  5. Step 5: Solve for x
    x = 30,713,799,100.23/201,788.04
  6. Step 6: Final answer
    x = 152,208.22

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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.