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Finding the Fourth Proportional to 149,885.94, 223,735.47 and 130,968.76

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Solution

The fourth proportional to 149,885.94, 223,735.47 and 130,968.76 is: 195,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,885.94 : 223,735.47 = 130,968.76 : x
  2. Step 2: Convert to fraction form
    149,885.94/223,735.47 = 130,968.76/x
  3. Step 3: Cross multiply
    149,885.94x = 223,735.47 × 130,968.76
  4. Step 4: Simplify right side
    149,885.94x = 29,302,357,073.92
  5. Step 5: Solve for x
    x = 29,302,357,073.92/149,885.94
  6. Step 6: Final answer
    x = 195,497.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.