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Finding the Fourth Proportional to 227,977.32, 314,445.54 and 160,009.46

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Solution

The fourth proportional to 227,977.32, 314,445.54 and 160,009.46 is: 220,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,977.32 : 314,445.54 = 160,009.46 : x
  2. Step 2: Convert to fraction form
    227,977.32/314,445.54 = 160,009.46/x
  3. Step 3: Cross multiply
    227,977.32x = 314,445.54 × 160,009.46
  4. Step 4: Simplify right side
    227,977.32x = 50,314,260,254.76
  5. Step 5: Solve for x
    x = 50,314,260,254.76/227,977.32
  6. Step 6: Final answer
    x = 220,698.53

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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.