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Finding the Fourth Proportional to 106,315.62, 146,736.75 and 61,024.20

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Solution

The fourth proportional to 106,315.62, 146,736.75 and 61,024.20 is: 84,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,315.62 : 146,736.75 = 61,024.20 : x
  2. Step 2: Convert to fraction form
    106,315.62/146,736.75 = 61,024.20/x
  3. Step 3: Cross multiply
    106,315.62x = 146,736.75 × 61,024.20
  4. Step 4: Simplify right side
    106,315.62x = 8,954,492,779.35
  5. Step 5: Solve for x
    x = 8,954,492,779.35/106,315.62
  6. Step 6: Final answer
    x = 84,225.56

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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.