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Finding the Fourth Proportional to 194,164, 267,952.80 and 118,697.92

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Solution

The fourth proportional to 194,164, 267,952.80 and 118,697.92 is: 163,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,164 : 267,952.80 = 118,697.92 : x
  2. Step 2: Convert to fraction form
    194,164/267,952.80 = 118,697.92/x
  3. Step 3: Cross multiply
    194,164x = 267,952.80 × 118,697.92
  4. Step 4: Simplify right side
    194,164x = 31,805,440,018.18
  5. Step 5: Solve for x
    x = 31,805,440,018.18/194,164
  6. Step 6: Final answer
    x = 163,807.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.