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Finding the Fourth Proportional to 164,095, 226,451.10 and 88,643.50

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Solution

The fourth proportional to 164,095, 226,451.10 and 88,643.50 is: 122,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,095 : 226,451.10 = 88,643.50 : x
  2. Step 2: Convert to fraction form
    164,095/226,451.10 = 88,643.50/x
  3. Step 3: Cross multiply
    164,095x = 226,451.10 × 88,643.50
  4. Step 4: Simplify right side
    164,095x = 20,073,418,082.85
  5. Step 5: Solve for x
    x = 20,073,418,082.85/164,095
  6. Step 6: Final answer
    x = 122,328.03

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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.