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Finding the Fourth Proportional to 164,895.40, 222,783.75 and 164,895.40

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Solution

The fourth proportional to 164,895.40, 222,783.75 and 164,895.40 is: 222,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,895.40 : 222,783.75 = 164,895.40 : x
  2. Step 2: Convert to fraction form
    164,895.40/222,783.75 = 164,895.40/x
  3. Step 3: Cross multiply
    164,895.40x = 222,783.75 × 164,895.40
  4. Step 4: Simplify right side
    164,895.40x = 36,736,015,569.75
  5. Step 5: Solve for x
    x = 36,736,015,569.75/164,895.40
  6. Step 6: Final answer
    x = 222,783.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.