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Finding the Fourth Proportional to 200,284.12, 276,097.62 and 152,454.16

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Solution

The fourth proportional to 200,284.12, 276,097.62 and 152,454.16 is: 210,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,284.12 : 276,097.62 = 152,454.16 : x
  2. Step 2: Convert to fraction form
    200,284.12/276,097.62 = 152,454.16/x
  3. Step 3: Cross multiply
    200,284.12x = 276,097.62 × 152,454.16
  4. Step 4: Simplify right side
    200,284.12x = 42,092,230,735.10
  5. Step 5: Solve for x
    x = 42,092,230,735.10/200,284.12
  6. Step 6: Final answer
    x = 210,162.60

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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.