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Finding the Fourth Proportional to 109,651.95, 164,477.93 and 109,651.95

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Solution

The fourth proportional to 109,651.95, 164,477.93 and 109,651.95 is: 164,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,651.95 : 164,477.93 = 109,651.95 : x
  2. Step 2: Convert to fraction form
    109,651.95/164,477.93 = 109,651.95/x
  3. Step 3: Cross multiply
    109,651.95x = 164,477.93 × 109,651.95
  4. Step 4: Simplify right side
    109,651.95x = 18,035,325,208.20
  5. Step 5: Solve for x
    x = 18,035,325,208.20/109,651.95
  6. Step 6: Final answer
    x = 164,477.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.