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Finding the Fourth Proportional to 357,135.76, 535,706.82 and 90,896.56

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Solution

The fourth proportional to 357,135.76, 535,706.82 and 90,896.56 is: 136,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,135.76 : 535,706.82 = 90,896.56 : x
  2. Step 2: Convert to fraction form
    357,135.76/535,706.82 = 90,896.56/x
  3. Step 3: Cross multiply
    357,135.76x = 535,706.82 × 90,896.56
  4. Step 4: Simplify right side
    357,135.76x = 48,693,907,106.54
  5. Step 5: Solve for x
    x = 48,693,907,106.54/357,135.76
  6. Step 6: Final answer
    x = 136,345.65

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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.