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Finding the Fourth Proportional to 270,216.98, 405,156.96 and 101,730.50

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Solution

The fourth proportional to 270,216.98, 405,156.96 and 101,730.50 is: 152,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,216.98 : 405,156.96 = 101,730.50 : x
  2. Step 2: Convert to fraction form
    270,216.98/405,156.96 = 101,730.50/x
  3. Step 3: Cross multiply
    270,216.98x = 405,156.96 × 101,730.50
  4. Step 4: Simplify right side
    270,216.98x = 41,216,820,119.28
  5. Step 5: Solve for x
    x = 41,216,820,119.28/270,216.98
  6. Step 6: Final answer
    x = 152,532.31

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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.