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Finding the Fourth Proportional to 201,342.06, 302,006.10 and 51,583.59

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Solution

The fourth proportional to 201,342.06, 302,006.10 and 51,583.59 is: 77,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,342.06 : 302,006.10 = 51,583.59 : x
  2. Step 2: Convert to fraction form
    201,342.06/302,006.10 = 51,583.59/x
  3. Step 3: Cross multiply
    201,342.06x = 302,006.10 × 51,583.59
  4. Step 4: Simplify right side
    201,342.06x = 15,578,558,839.90
  5. Step 5: Solve for x
    x = 15,578,558,839.90/201,342.06
  6. Step 6: Final answer
    x = 77,373.59

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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.