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Finding the Fourth Proportional to 357,072.86, 535,748.71 and 157,252.82

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Solution

The fourth proportional to 357,072.86, 535,748.71 and 157,252.82 is: 235,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,072.86 : 535,748.71 = 157,252.82 : x
  2. Step 2: Convert to fraction form
    357,072.86/535,748.71 = 157,252.82/x
  3. Step 3: Cross multiply
    357,072.86x = 535,748.71 × 157,252.82
  4. Step 4: Simplify right side
    357,072.86x = 84,247,993,746.36
  5. Step 5: Solve for x
    x = 84,247,993,746.36/357,072.86
  6. Step 6: Final answer
    x = 235,940.63

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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.