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Finding the Fourth Proportional to 152,954.65, 211,107.43 and 97,728.47

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Solution

The fourth proportional to 152,954.65, 211,107.43 and 97,728.47 is: 134,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,954.65 : 211,107.43 = 97,728.47 : x
  2. Step 2: Convert to fraction form
    152,954.65/211,107.43 = 97,728.47/x
  3. Step 3: Cross multiply
    152,954.65x = 211,107.43 × 97,728.47
  4. Step 4: Simplify right side
    152,954.65x = 20,631,206,139.53
  5. Step 5: Solve for x
    x = 20,631,206,139.53/152,954.65
  6. Step 6: Final answer
    x = 134,884.47

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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.