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Finding the Fourth Proportional to 230,095.28, 345,225.48 and 89,954.48

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Solution

The fourth proportional to 230,095.28, 345,225.48 and 89,954.48 is: 134,964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,095.28 : 345,225.48 = 89,954.48 : x
  2. Step 2: Convert to fraction form
    230,095.28/345,225.48 = 89,954.48/x
  3. Step 3: Cross multiply
    230,095.28x = 345,225.48 × 89,954.48
  4. Step 4: Simplify right side
    230,095.28x = 31,054,578,536.15
  5. Step 5: Solve for x
    x = 31,054,578,536.15/230,095.28
  6. Step 6: Final answer
    x = 134,964.00

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Why These Related Problems?

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