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Finding the Fourth Proportional to 208,164, 311,918.95 and 160,894.83

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Solution

The fourth proportional to 208,164, 311,918.95 and 160,894.83 is: 241,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,164 : 311,918.95 = 160,894.83 : x
  2. Step 2: Convert to fraction form
    208,164/311,918.95 = 160,894.83/x
  3. Step 3: Cross multiply
    208,164x = 311,918.95 × 160,894.83
  4. Step 4: Simplify right side
    208,164x = 50,186,146,434.03
  5. Step 5: Solve for x
    x = 50,186,146,434.03/208,164
  6. Step 6: Final answer
    x = 241,089.46

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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.