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Finding the Fourth Proportional to 280,135, 386,476.10 and 172,518.20

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Solution

The fourth proportional to 280,135, 386,476.10 and 172,518.20 is: 238,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,135 : 386,476.10 = 172,518.20 : x
  2. Step 2: Convert to fraction form
    280,135/386,476.10 = 172,518.20/x
  3. Step 3: Cross multiply
    280,135x = 386,476.10 × 172,518.20
  4. Step 4: Simplify right side
    280,135x = 66,674,161,115.02
  5. Step 5: Solve for x
    x = 66,674,161,115.02/280,135
  6. Step 6: Final answer
    x = 238,007.25

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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.