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Finding the Fourth Proportional to 235,200.69, 352,801.01 and 102,078

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Solution

The fourth proportional to 235,200.69, 352,801.01 and 102,078 is: 153,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,200.69 : 352,801.01 = 102,078 : x
  2. Step 2: Convert to fraction form
    235,200.69/352,801.01 = 102,078/x
  3. Step 3: Cross multiply
    235,200.69x = 352,801.01 × 102,078
  4. Step 4: Simplify right side
    235,200.69x = 36,013,220,988.39
  5. Step 5: Solve for x
    x = 36,013,220,988.39/235,200.69
  6. Step 6: Final answer
    x = 153,116.99

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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.