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Finding the Fourth Proportional to 193,492.49, 267,011.91 and 107,455.91

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Solution

The fourth proportional to 193,492.49, 267,011.91 and 107,455.91 is: 148,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,492.49 : 267,011.91 = 107,455.91 : x
  2. Step 2: Convert to fraction form
    193,492.49/267,011.91 = 107,455.91/x
  3. Step 3: Cross multiply
    193,492.49x = 267,011.91 × 107,455.91
  4. Step 4: Simplify right side
    193,492.49x = 28,692,006,434.83
  5. Step 5: Solve for x
    x = 28,692,006,434.83/193,492.49
  6. Step 6: Final answer
    x = 148,284.86

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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.