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Finding the Fourth Proportional to 194,119.94, 291,192.47 and 61,005.76

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Solution

The fourth proportional to 194,119.94, 291,192.47 and 61,005.76 is: 91,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,119.94 : 291,192.47 = 61,005.76 : x
  2. Step 2: Convert to fraction form
    194,119.94/291,192.47 = 61,005.76/x
  3. Step 3: Cross multiply
    194,119.94x = 291,192.47 × 61,005.76
  4. Step 4: Simplify right side
    194,119.94x = 17,764,417,938.63
  5. Step 5: Solve for x
    x = 17,764,417,938.63/194,119.94
  6. Step 6: Final answer
    x = 91,512.59

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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.