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Finding the Fourth Proportional to 255,329.70, 382,960.05 and 105,549.19

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Solution

The fourth proportional to 255,329.70, 382,960.05 and 105,549.19 is: 158,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,329.70 : 382,960.05 = 105,549.19 : x
  2. Step 2: Convert to fraction form
    255,329.70/382,960.05 = 105,549.19/x
  3. Step 3: Cross multiply
    255,329.70x = 382,960.05 × 105,549.19
  4. Step 4: Simplify right side
    255,329.70x = 40,421,123,079.86
  5. Step 5: Solve for x
    x = 40,421,123,079.86/255,329.70
  6. Step 6: Final answer
    x = 158,309.52

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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.