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Finding the Fourth Proportional to 202,955.30, 304,432.95 and 109,643.30

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Solution

The fourth proportional to 202,955.30, 304,432.95 and 109,643.30 is: 164,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,955.30 : 304,432.95 = 109,643.30 : x
  2. Step 2: Convert to fraction form
    202,955.30/304,432.95 = 109,643.30/x
  3. Step 3: Cross multiply
    202,955.30x = 304,432.95 × 109,643.30
  4. Step 4: Simplify right side
    202,955.30x = 33,379,033,266.74
  5. Step 5: Solve for x
    x = 33,379,033,266.74/202,955.30
  6. Step 6: Final answer
    x = 164,464.95

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1.5x scale

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.