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Finding the Fourth Proportional to 201,302.80, 302,083.80 and 117,062.80

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Solution

The fourth proportional to 201,302.80, 302,083.80 and 117,062.80 is: 175,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,302.80 : 302,083.80 = 117,062.80 : x
  2. Step 2: Convert to fraction form
    201,302.80/302,083.80 = 117,062.80/x
  3. Step 3: Cross multiply
    201,302.80x = 302,083.80 × 117,062.80
  4. Step 4: Simplify right side
    201,302.80x = 35,362,775,462.64
  5. Step 5: Solve for x
    x = 35,362,775,462.64/201,302.80
  6. Step 6: Final answer
    x = 175,669.57

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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.