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Finding the Fourth Proportional to 194,477.12, 268,378.38 and 105,053.12

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Solution

The fourth proportional to 194,477.12, 268,378.38 and 105,053.12 is: 144,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,477.12 : 268,378.38 = 105,053.12 : x
  2. Step 2: Convert to fraction form
    194,477.12/268,378.38 = 105,053.12/x
  3. Step 3: Cross multiply
    194,477.12x = 268,378.38 × 105,053.12
  4. Step 4: Simplify right side
    194,477.12x = 28,193,986,159.55
  5. Step 5: Solve for x
    x = 28,193,986,159.55/194,477.12
  6. Step 6: Final answer
    x = 144,973.28

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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.