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Finding the Fourth Proportional to 114,160.72, 171,281.06 and 35,274.94

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Solution

The fourth proportional to 114,160.72, 171,281.06 and 35,274.94 is: 52,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,160.72 : 171,281.06 = 35,274.94 : x
  2. Step 2: Convert to fraction form
    114,160.72/171,281.06 = 35,274.94/x
  3. Step 3: Cross multiply
    114,160.72x = 171,281.06 × 35,274.94
  4. Step 4: Simplify right side
    114,160.72x = 6,041,929,506.59
  5. Step 5: Solve for x
    x = 6,041,929,506.59/114,160.72
  6. Step 6: Final answer
    x = 52,924.77

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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.