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Finding the Fourth Proportional to 280,286.46, 386,803.53 and 152,970.21

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Solution

The fourth proportional to 280,286.46, 386,803.53 and 152,970.21 is: 211,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,286.46 : 386,803.53 = 152,970.21 : x
  2. Step 2: Convert to fraction form
    280,286.46/386,803.53 = 152,970.21/x
  3. Step 3: Cross multiply
    280,286.46x = 386,803.53 × 152,970.21
  4. Step 4: Simplify right side
    280,286.46x = 59,169,417,212.84
  5. Step 5: Solve for x
    x = 59,169,417,212.84/280,286.46
  6. Step 6: Final answer
    x = 211,103.37

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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.