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Finding the Fourth Proportional to 280,115, 386,563.96 and 152,795.14

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Solution

The fourth proportional to 280,115, 386,563.96 and 152,795.14 is: 210,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,115 : 386,563.96 = 152,795.14 : x
  2. Step 2: Convert to fraction form
    280,115/386,563.96 = 152,795.14/x
  3. Step 3: Cross multiply
    280,115x = 386,563.96 × 152,795.14
  4. Step 4: Simplify right side
    280,115x = 59,065,094,387.15
  5. Step 5: Solve for x
    x = 59,065,094,387.15/280,115
  6. Step 6: Final answer
    x = 210,860.16

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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.