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Finding the Fourth Proportional to 235,458.93, 353,180.46 and 102,339.20

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Solution

The fourth proportional to 235,458.93, 353,180.46 and 102,339.20 is: 153,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,458.93 : 353,180.46 = 102,339.20 : x
  2. Step 2: Convert to fraction form
    235,458.93/353,180.46 = 102,339.20/x
  3. Step 3: Cross multiply
    235,458.93x = 353,180.46 × 102,339.20
  4. Step 4: Simplify right side
    235,458.93x = 36,144,203,966.13
  5. Step 5: Solve for x
    x = 36,144,203,966.13/235,458.93
  6. Step 6: Final answer
    x = 153,505.34

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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.