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Finding the Fourth Proportional to 164,099.32, 224,980.25 and 161,110.12

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Solution

The fourth proportional to 164,099.32, 224,980.25 and 161,110.12 is: 220,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,099.32 : 224,980.25 = 161,110.12 : x
  2. Step 2: Convert to fraction form
    164,099.32/224,980.25 = 161,110.12/x
  3. Step 3: Cross multiply
    164,099.32x = 224,980.25 × 161,110.12
  4. Step 4: Simplify right side
    164,099.32x = 36,246,595,075.13
  5. Step 5: Solve for x
    x = 36,246,595,075.13/164,099.32
  6. Step 6: Final answer
    x = 220,882.06

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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.