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Finding the Fourth Proportional to 230,373.48, 345,417.66 and 89,967

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Solution

The fourth proportional to 230,373.48, 345,417.66 and 89,967 is: 134,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,373.48 : 345,417.66 = 89,967 : x
  2. Step 2: Convert to fraction form
    230,373.48/345,417.66 = 89,967/x
  3. Step 3: Cross multiply
    230,373.48x = 345,417.66 × 89,967
  4. Step 4: Simplify right side
    230,373.48x = 31,076,190,617.22
  5. Step 5: Solve for x
    x = 31,076,190,617.22/230,373.48
  6. Step 6: Final answer
    x = 134,894.83

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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.