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Finding the Fourth Proportional to 216,163.17, 298,265.87 and 151,828.98

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Solution

The fourth proportional to 216,163.17, 298,265.87 and 151,828.98 is: 209,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,163.17 : 298,265.87 = 151,828.98 : x
  2. Step 2: Convert to fraction form
    216,163.17/298,265.87 = 151,828.98/x
  3. Step 3: Cross multiply
    216,163.17x = 298,265.87 × 151,828.98
  4. Step 4: Simplify right side
    216,163.17x = 45,285,402,051.77
  5. Step 5: Solve for x
    x = 45,285,402,051.77/216,163.17
  6. Step 6: Final answer
    x = 209,496.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.