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Finding the Fourth Proportional to 201,762.04, 302,645.50 and 68,645.02

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Solution

The fourth proportional to 201,762.04, 302,645.50 and 68,645.02 is: 102,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762.04 : 302,645.50 = 68,645.02 : x
  2. Step 2: Convert to fraction form
    201,762.04/302,645.50 = 68,645.02/x
  3. Step 3: Cross multiply
    201,762.04x = 302,645.50 × 68,645.02
  4. Step 4: Simplify right side
    201,762.04x = 20,775,106,400.41
  5. Step 5: Solve for x
    x = 20,775,106,400.41/201,762.04
  6. Step 6: Final answer
    x = 102,968.36

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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.