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Finding the Fourth Proportional to 281,419.72, 421,459.50 and 162,841.16

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Solution

The fourth proportional to 281,419.72, 421,459.50 and 162,841.16 is: 243,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,419.72 : 421,459.50 = 162,841.16 : x
  2. Step 2: Convert to fraction form
    281,419.72/421,459.50 = 162,841.16/x
  3. Step 3: Cross multiply
    281,419.72x = 421,459.50 × 162,841.16
  4. Step 4: Simplify right side
    281,419.72x = 68,630,953,873.02
  5. Step 5: Solve for x
    x = 68,630,953,873.02/281,419.72
  6. Step 6: Final answer
    x = 243,874.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.