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Finding the Fourth Proportional to 309,182, 463,602.60 and 95,890.88

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Solution

The fourth proportional to 309,182, 463,602.60 and 95,890.88 is: 143,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,182 : 463,602.60 = 95,890.88 : x
  2. Step 2: Convert to fraction form
    309,182/463,602.60 = 95,890.88/x
  3. Step 3: Cross multiply
    309,182x = 463,602.60 × 95,890.88
  4. Step 4: Simplify right side
    309,182x = 44,455,261,284.29
  5. Step 5: Solve for x
    x = 44,455,261,284.29/309,182
  6. Step 6: Final answer
    x = 143,783.47

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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.