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Finding the Fourth Proportional to 190,782.78, 263,267.05 and 105,893.16

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Solution

The fourth proportional to 190,782.78, 263,267.05 and 105,893.16 is: 146,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,782.78 : 263,267.05 = 105,893.16 : x
  2. Step 2: Convert to fraction form
    190,782.78/263,267.05 = 105,893.16/x
  3. Step 3: Cross multiply
    190,782.78x = 263,267.05 × 105,893.16
  4. Step 4: Simplify right side
    190,782.78x = 27,878,179,848.38
  5. Step 5: Solve for x
    x = 27,878,179,848.38/190,782.78
  6. Step 6: Final answer
    x = 146,125.24

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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.