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Finding the Fourth Proportional to 201,309.02, 302,029.14 and 101,461.54

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Solution

The fourth proportional to 201,309.02, 302,029.14 and 101,461.54 is: 152,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,309.02 : 302,029.14 = 101,461.54 : x
  2. Step 2: Convert to fraction form
    201,309.02/302,029.14 = 101,461.54/x
  3. Step 3: Cross multiply
    201,309.02x = 302,029.14 × 101,461.54
  4. Step 4: Simplify right side
    201,309.02x = 30,644,341,669.28
  5. Step 5: Solve for x
    x = 30,644,341,669.28/201,309.02
  6. Step 6: Final answer
    x = 152,225.38

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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.