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Finding the Fourth Proportional to 152,614, 210,597.02 and 84,628.48

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Solution

The fourth proportional to 152,614, 210,597.02 and 84,628.48 is: 116,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,614 : 210,597.02 = 84,628.48 : x
  2. Step 2: Convert to fraction form
    152,614/210,597.02 = 84,628.48/x
  3. Step 3: Cross multiply
    152,614x = 210,597.02 × 84,628.48
  4. Step 4: Simplify right side
    152,614x = 17,822,505,695.13
  5. Step 5: Solve for x
    x = 17,822,505,695.13/152,614
  6. Step 6: Final answer
    x = 116,781.59

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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.