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Finding the Fourth Proportional to 152,189, 210,021.54 and 85,121

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Solution

The fourth proportional to 152,189, 210,021.54 and 85,121 is: 117,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,189 : 210,021.54 = 85,121 : x
  2. Step 2: Convert to fraction form
    152,189/210,021.54 = 85,121/x
  3. Step 3: Cross multiply
    152,189x = 210,021.54 × 85,121
  4. Step 4: Simplify right side
    152,189x = 17,877,243,506.34
  5. Step 5: Solve for x
    x = 17,877,243,506.34/152,189
  6. Step 6: Final answer
    x = 117,467.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.