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Finding the Fourth Proportional to 193,836, 290,754 and 51,681.76

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Solution

The fourth proportional to 193,836, 290,754 and 51,681.76 is: 77,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,836 : 290,754 = 51,681.76 : x
  2. Step 2: Convert to fraction form
    193,836/290,754 = 51,681.76/x
  3. Step 3: Cross multiply
    193,836x = 290,754 × 51,681.76
  4. Step 4: Simplify right side
    193,836x = 15,026,678,447.04
  5. Step 5: Solve for x
    x = 15,026,678,447.04/193,836
  6. Step 6: Final answer
    x = 77,522.64

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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.