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Finding the Fourth Proportional to 235,465.80, 353,344.86 and 95,225.64

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Solution

The fourth proportional to 235,465.80, 353,344.86 and 95,225.64 is: 142,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,465.80 : 353,344.86 = 95,225.64 : x
  2. Step 2: Convert to fraction form
    235,465.80/353,344.86 = 95,225.64/x
  3. Step 3: Cross multiply
    235,465.80x = 353,344.86 × 95,225.64
  4. Step 4: Simplify right side
    235,465.80x = 33,647,490,434.21
  5. Step 5: Solve for x
    x = 33,647,490,434.21/235,465.80
  6. Step 6: Final answer
    x = 142,897.57

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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.