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Finding the Fourth Proportional to 174,152, 261,009.36 and 94,186.78

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Solution

The fourth proportional to 174,152, 261,009.36 and 94,186.78 is: 141,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,152 : 261,009.36 = 94,186.78 : x
  2. Step 2: Convert to fraction form
    174,152/261,009.36 = 94,186.78/x
  3. Step 3: Cross multiply
    174,152x = 261,009.36 × 94,186.78
  4. Step 4: Simplify right side
    174,152x = 24,583,631,168.26
  5. Step 5: Solve for x
    x = 24,583,631,168.26/174,152
  6. Step 6: Final answer
    x = 141,161.92

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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.