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Finding the Fourth Proportional to 164,115, 226,366.23 and 100,484.22

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Solution

The fourth proportional to 164,115, 226,366.23 and 100,484.22 is: 138,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,115 : 226,366.23 = 100,484.22 : x
  2. Step 2: Convert to fraction form
    164,115/226,366.23 = 100,484.22/x
  3. Step 3: Cross multiply
    164,115x = 226,366.23 × 100,484.22
  4. Step 4: Simplify right side
    164,115x = 22,746,234,055.89
  5. Step 5: Solve for x
    x = 22,746,234,055.89/164,115
  6. Step 6: Final answer
    x = 138,599.36

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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.