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Finding the Fourth Proportional to 141,894.72, 195,652.80 and 106,024.32

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Solution

The fourth proportional to 141,894.72, 195,652.80 and 106,024.32 is: 146,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,894.72 : 195,652.80 = 106,024.32 : x
  2. Step 2: Convert to fraction form
    141,894.72/195,652.80 = 106,024.32/x
  3. Step 3: Cross multiply
    141,894.72x = 195,652.80 × 106,024.32
  4. Step 4: Simplify right side
    141,894.72x = 20,743,955,076.10
  5. Step 5: Solve for x
    x = 20,743,955,076.10/141,894.72
  6. Step 6: Final answer
    x = 146,192.58

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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.