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Finding the Fourth Proportional to 194,955.36, 269,038.80 and 105,531.36

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Solution

The fourth proportional to 194,955.36, 269,038.80 and 105,531.36 is: 145,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,955.36 : 269,038.80 = 105,531.36 : x
  2. Step 2: Convert to fraction form
    194,955.36/269,038.80 = 105,531.36/x
  3. Step 3: Cross multiply
    194,955.36x = 269,038.80 × 105,531.36
  4. Step 4: Simplify right side
    194,955.36x = 28,392,030,456.77
  5. Step 5: Solve for x
    x = 28,392,030,456.77/194,955.36
  6. Step 6: Final answer
    x = 145,633.50

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1.5x scale

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.