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Finding the Fourth Proportional to 280,146.16, 386,600.34 and 152,820.64

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Solution

The fourth proportional to 280,146.16, 386,600.34 and 152,820.64 is: 210,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,146.16 : 386,600.34 = 152,820.64 : x
  2. Step 2: Convert to fraction form
    280,146.16/386,600.34 = 152,820.64/x
  3. Step 3: Cross multiply
    280,146.16x = 386,600.34 × 152,820.64
  4. Step 4: Simplify right side
    280,146.16x = 59,080,511,383.02
  5. Step 5: Solve for x
    x = 59,080,511,383.02/280,146.16
  6. Step 6: Final answer
    x = 210,891.74

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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.