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Finding the Fourth Proportional to 302,952.94, 454,429.41 and 92,589.10

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Solution

The fourth proportional to 302,952.94, 454,429.41 and 92,589.10 is: 138,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,952.94 : 454,429.41 = 92,589.10 : x
  2. Step 2: Convert to fraction form
    302,952.94/454,429.41 = 92,589.10/x
  3. Step 3: Cross multiply
    302,952.94x = 454,429.41 × 92,589.10
  4. Step 4: Simplify right side
    302,952.94x = 42,075,210,085.43
  5. Step 5: Solve for x
    x = 42,075,210,085.43/302,952.94
  6. Step 6: Final answer
    x = 138,883.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.