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Finding the Fourth Proportional to 114,037.80, 171,056.70 and 96,323.10

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Solution

The fourth proportional to 114,037.80, 171,056.70 and 96,323.10 is: 144,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,037.80 : 171,056.70 = 96,323.10 : x
  2. Step 2: Convert to fraction form
    114,037.80/171,056.70 = 96,323.10/x
  3. Step 3: Cross multiply
    114,037.80x = 171,056.70 × 96,323.10
  4. Step 4: Simplify right side
    114,037.80x = 16,476,711,619.77
  5. Step 5: Solve for x
    x = 16,476,711,619.77/114,037.80
  6. Step 6: Final answer
    x = 144,484.65

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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.