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Finding the Fourth Proportional to 221,457, 305,627.09 and 125,994.45

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Solution

The fourth proportional to 221,457, 305,627.09 and 125,994.45 is: 173,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,457 : 305,627.09 = 125,994.45 : x
  2. Step 2: Convert to fraction form
    221,457/305,627.09 = 125,994.45/x
  3. Step 3: Cross multiply
    221,457x = 305,627.09 × 125,994.45
  4. Step 4: Simplify right side
    221,457x = 38,507,316,479.68
  5. Step 5: Solve for x
    x = 38,507,316,479.68/221,457
  6. Step 6: Final answer
    x = 173,881.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.