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Finding the Fourth Proportional to 223,419.10, 335,128.65 and 130,107.10

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Solution

The fourth proportional to 223,419.10, 335,128.65 and 130,107.10 is: 195,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,419.10 : 335,128.65 = 130,107.10 : x
  2. Step 2: Convert to fraction form
    223,419.10/335,128.65 = 130,107.10/x
  3. Step 3: Cross multiply
    223,419.10x = 335,128.65 × 130,107.10
  4. Step 4: Simplify right side
    223,419.10x = 43,602,616,778.42
  5. Step 5: Solve for x
    x = 43,602,616,778.42/223,419.10
  6. Step 6: Final answer
    x = 195,160.65

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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.