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Finding the Fourth Proportional to 152,870.36, 210,986.05 and 84,909.22

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Solution

The fourth proportional to 152,870.36, 210,986.05 and 84,909.22 is: 117,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,870.36 : 210,986.05 = 84,909.22 : x
  2. Step 2: Convert to fraction form
    152,870.36/210,986.05 = 84,909.22/x
  3. Step 3: Cross multiply
    152,870.36x = 210,986.05 × 84,909.22
  4. Step 4: Simplify right side
    152,870.36x = 17,914,660,936.38
  5. Step 5: Solve for x
    x = 17,914,660,936.38/152,870.36
  6. Step 6: Final answer
    x = 117,188.58

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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.