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Finding the Fourth Proportional to 152,874.69, 210,960.01 and 84,896.00

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Solution

The fourth proportional to 152,874.69, 210,960.01 and 84,896.00 is: 117,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,874.69 : 210,960.01 = 84,896.00 : x
  2. Step 2: Convert to fraction form
    152,874.69/210,960.01 = 84,896.00/x
  3. Step 3: Cross multiply
    152,874.69x = 210,960.01 × 84,896.00
  4. Step 4: Simplify right side
    152,874.69x = 17,909,660,851.38
  5. Step 5: Solve for x
    x = 17,909,660,851.38/152,874.69
  6. Step 6: Final answer
    x = 117,152.56

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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.