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Finding the Fourth Proportional to 201,835.40, 302,753.10 and 154,596.20

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Solution

The fourth proportional to 201,835.40, 302,753.10 and 154,596.20 is: 231,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,835.40 : 302,753.10 = 154,596.20 : x
  2. Step 2: Convert to fraction form
    201,835.40/302,753.10 = 154,596.20/x
  3. Step 3: Cross multiply
    201,835.40x = 302,753.10 × 154,596.20
  4. Step 4: Simplify right side
    201,835.40x = 46,804,478,798.22
  5. Step 5: Solve for x
    x = 46,804,478,798.22/201,835.40
  6. Step 6: Final answer
    x = 231,894.30

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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.