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Finding the Fourth Proportional to 152,713.16, 210,737.06 and 84,729.42

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Solution

The fourth proportional to 152,713.16, 210,737.06 and 84,729.42 is: 116,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,713.16 : 210,737.06 = 84,729.42 : x
  2. Step 2: Convert to fraction form
    152,713.16/210,737.06 = 84,729.42/x
  3. Step 3: Cross multiply
    152,713.16x = 210,737.06 × 84,729.42
  4. Step 4: Simplify right side
    152,713.16x = 17,855,628,866.31
  5. Step 5: Solve for x
    x = 17,855,628,866.31/152,713.16
  6. Step 6: Final answer
    x = 116,922.66

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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.