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Finding the Fourth Proportional to 152,871.14, 210,955.07 and 84,892.42

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Solution

The fourth proportional to 152,871.14, 210,955.07 and 84,892.42 is: 117,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,871.14 : 210,955.07 = 84,892.42 : x
  2. Step 2: Convert to fraction form
    152,871.14/210,955.07 = 84,892.42/x
  3. Step 3: Cross multiply
    152,871.14x = 210,955.07 × 84,892.42
  4. Step 4: Simplify right side
    152,871.14x = 17,908,484,924.33
  5. Step 5: Solve for x
    x = 17,908,484,924.33/152,871.14
  6. Step 6: Final answer
    x = 117,147.59

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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.