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Finding the Fourth Proportional to 152,244, 210,093.80 and 84,261

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Solution

The fourth proportional to 152,244, 210,093.80 and 84,261 is: 116,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,244 : 210,093.80 = 84,261 : x
  2. Step 2: Convert to fraction form
    152,244/210,093.80 = 84,261/x
  3. Step 3: Cross multiply
    152,244x = 210,093.80 × 84,261
  4. Step 4: Simplify right side
    152,244x = 17,702,713,681.80
  5. Step 5: Solve for x
    x = 17,702,713,681.80/152,244
  6. Step 6: Final answer
    x = 116,278.56

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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.