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Finding the Fourth Proportional to 106,111.78, 146,455.06 and 60,820.13

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Solution

The fourth proportional to 106,111.78, 146,455.06 and 60,820.13 is: 83,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,111.78 : 146,455.06 = 60,820.13 : x
  2. Step 2: Convert to fraction form
    106,111.78/146,455.06 = 60,820.13/x
  3. Step 3: Cross multiply
    106,111.78x = 146,455.06 × 60,820.13
  4. Step 4: Simplify right side
    106,111.78x = 8,907,415,788.36
  5. Step 5: Solve for x
    x = 8,907,415,788.36/106,111.78
  6. Step 6: Final answer
    x = 83,943.70

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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.