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Finding the Fourth Proportional to 180,141.83, 269,838.89 and 105,034.17

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Solution

The fourth proportional to 180,141.83, 269,838.89 and 105,034.17 is: 157,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,141.83 : 269,838.89 = 105,034.17 : x
  2. Step 2: Convert to fraction form
    180,141.83/269,838.89 = 105,034.17/x
  3. Step 3: Cross multiply
    180,141.83x = 269,838.89 × 105,034.17
  4. Step 4: Simplify right side
    180,141.83x = 28,342,303,844.87
  5. Step 5: Solve for x
    x = 28,342,303,844.87/180,141.83
  6. Step 6: Final answer
    x = 157,333.27

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1.5x scale

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.