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Finding the Fourth Proportional to 223,106.48, 334,725.24 and 89,918.20

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Solution

The fourth proportional to 223,106.48, 334,725.24 and 89,918.20 is: 134,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,106.48 : 334,725.24 = 89,918.20 : x
  2. Step 2: Convert to fraction form
    223,106.48/334,725.24 = 89,918.20/x
  3. Step 3: Cross multiply
    223,106.48x = 334,725.24 × 89,918.20
  4. Step 4: Simplify right side
    223,106.48x = 30,097,891,075.37
  5. Step 5: Solve for x
    x = 30,097,891,075.37/223,106.48
  6. Step 6: Final answer
    x = 134,903.71

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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.