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Finding the Fourth Proportional to 253,878.32, 380,842.77 and 93,997

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Solution

The fourth proportional to 253,878.32, 380,842.77 and 93,997 is: 141,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,878.32 : 380,842.77 = 93,997 : x
  2. Step 2: Convert to fraction form
    253,878.32/380,842.77 = 93,997/x
  3. Step 3: Cross multiply
    253,878.32x = 380,842.77 × 93,997
  4. Step 4: Simplify right side
    253,878.32x = 35,798,077,381.71
  5. Step 5: Solve for x
    x = 35,798,077,381.71/253,878.32
  6. Step 6: Final answer
    x = 141,004.86

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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.