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Finding the Fourth Proportional to 193,089.96, 289,695.42 and 86,563.22

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Solution

The fourth proportional to 193,089.96, 289,695.42 and 86,563.22 is: 129,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,089.96 : 289,695.42 = 86,563.22 : x
  2. Step 2: Convert to fraction form
    193,089.96/289,695.42 = 86,563.22/x
  3. Step 3: Cross multiply
    193,089.96x = 289,695.42 × 86,563.22
  4. Step 4: Simplify right side
    193,089.96x = 25,076,966,925.98
  5. Step 5: Solve for x
    x = 25,076,966,925.98/193,089.96
  6. Step 6: Final answer
    x = 129,871.94

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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.