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Finding the Fourth Proportional to 164,098.14, 224,978.61 and 161,108.93

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Solution

The fourth proportional to 164,098.14, 224,978.61 and 161,108.93 is: 220,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,098.14 : 224,978.61 = 161,108.93 : x
  2. Step 2: Convert to fraction form
    164,098.14/224,978.61 = 161,108.93/x
  3. Step 3: Cross multiply
    164,098.14x = 224,978.61 × 161,108.93
  4. Step 4: Simplify right side
    164,098.14x = 36,246,064,296.59
  5. Step 5: Solve for x
    x = 36,246,064,296.59/164,098.14
  6. Step 6: Final answer
    x = 220,880.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.