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Finding the Fourth Proportional to 185,969.36, 256,636.68 and 105,412.12

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Solution

The fourth proportional to 185,969.36, 256,636.68 and 105,412.12 is: 145,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,969.36 : 256,636.68 = 105,412.12 : x
  2. Step 2: Convert to fraction form
    185,969.36/256,636.68 = 105,412.12/x
  3. Step 3: Cross multiply
    185,969.36x = 256,636.68 × 105,412.12
  4. Step 4: Simplify right side
    185,969.36x = 27,052,616,508.56
  5. Step 5: Solve for x
    x = 27,052,616,508.56/185,969.36
  6. Step 6: Final answer
    x = 145,468.14

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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.