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Finding the Fourth Proportional to 357,095.94, 535,675.37 and 132,458.78

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Solution

The fourth proportional to 357,095.94, 535,675.37 and 132,458.78 is: 198,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,095.94 : 535,675.37 = 132,458.78 : x
  2. Step 2: Convert to fraction form
    357,095.94/535,675.37 = 132,458.78/x
  3. Step 3: Cross multiply
    357,095.94x = 535,675.37 × 132,458.78
  4. Step 4: Simplify right side
    357,095.94x = 70,954,902,645.58
  5. Step 5: Solve for x
    x = 70,954,902,645.58/357,095.94
  6. Step 6: Final answer
    x = 198,699.83

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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.