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Finding the Fourth Proportional to 194,659.36, 291,461.41 and 100,968.28

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Solution

The fourth proportional to 194,659.36, 291,461.41 and 100,968.28 is: 151,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,659.36 : 291,461.41 = 100,968.28 : x
  2. Step 2: Convert to fraction form
    194,659.36/291,461.41 = 100,968.28/x
  3. Step 3: Cross multiply
    194,659.36x = 291,461.41 × 100,968.28
  4. Step 4: Simplify right side
    194,659.36x = 29,428,357,254.07
  5. Step 5: Solve for x
    x = 29,428,357,254.07/194,659.36
  6. Step 6: Final answer
    x = 151,178.74

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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.