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Finding the Fourth Proportional to 230,559.90, 345,904.65 and 112,235.10

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Solution

The fourth proportional to 230,559.90, 345,904.65 and 112,235.10 is: 168,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,559.90 : 345,904.65 = 112,235.10 : x
  2. Step 2: Convert to fraction form
    230,559.90/345,904.65 = 112,235.10/x
  3. Step 3: Cross multiply
    230,559.90x = 345,904.65 × 112,235.10
  4. Step 4: Simplify right side
    230,559.90x = 38,822,642,983.22
  5. Step 5: Solve for x
    x = 38,822,642,983.22/230,559.90
  6. Step 6: Final answer
    x = 168,384.19

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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.