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Finding the Fourth Proportional to 356,708.49, 535,141.71 and 120,043.50

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Solution

The fourth proportional to 356,708.49, 535,141.71 and 120,043.50 is: 180,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,708.49 : 535,141.71 = 120,043.50 : x
  2. Step 2: Convert to fraction form
    356,708.49/535,141.71 = 120,043.50/x
  3. Step 3: Cross multiply
    356,708.49x = 535,141.71 × 120,043.50
  4. Step 4: Simplify right side
    356,708.49x = 64,240,283,864.39
  5. Step 5: Solve for x
    x = 64,240,283,864.39/356,708.49
  6. Step 6: Final answer
    x = 180,091.83

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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.