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Finding the Fourth Proportional to 114,803.16, 171,701.14 and 102,241.56

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Solution

The fourth proportional to 114,803.16, 171,701.14 and 102,241.56 is: 152,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,803.16 : 171,701.14 = 102,241.56 : x
  2. Step 2: Convert to fraction form
    114,803.16/171,701.14 = 102,241.56/x
  3. Step 3: Cross multiply
    114,803.16x = 171,701.14 × 102,241.56
  4. Step 4: Simplify right side
    114,803.16x = 17,554,992,407.38
  5. Step 5: Solve for x
    x = 17,554,992,407.38/114,803.16
  6. Step 6: Final answer
    x = 152,913.84

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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.