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Finding the Fourth Proportional to 280,173.30, 386,640.46 and 152,851.64

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Solution

The fourth proportional to 280,173.30, 386,640.46 and 152,851.64 is: 210,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,173.30 : 386,640.46 = 152,851.64 : x
  2. Step 2: Convert to fraction form
    280,173.30/386,640.46 = 152,851.64/x
  3. Step 3: Cross multiply
    280,173.30x = 386,640.46 × 152,851.64
  4. Step 4: Simplify right side
    280,173.30x = 59,098,628,401.35
  5. Step 5: Solve for x
    x = 59,098,628,401.35/280,173.30
  6. Step 6: Final answer
    x = 210,935.98

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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.