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Finding the Fourth Proportional to 227,686.96, 314,206.32 and 125,712.64

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Solution

The fourth proportional to 227,686.96, 314,206.32 and 125,712.64 is: 173,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,686.96 : 314,206.32 = 125,712.64 : x
  2. Step 2: Convert to fraction form
    227,686.96/314,206.32 = 125,712.64/x
  3. Step 3: Cross multiply
    227,686.96x = 314,206.32 × 125,712.64
  4. Step 4: Simplify right side
    227,686.96x = 39,499,705,991.88
  5. Step 5: Solve for x
    x = 39,499,705,991.88/227,686.96
  6. Step 6: Final answer
    x = 173,482.51

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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.