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Finding the Fourth Proportional to 102,033.06, 153,065.37 and 52,086.06

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Solution

The fourth proportional to 102,033.06, 153,065.37 and 52,086.06 is: 78,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,033.06 : 153,065.37 = 52,086.06 : x
  2. Step 2: Convert to fraction form
    102,033.06/153,065.37 = 52,086.06/x
  3. Step 3: Cross multiply
    102,033.06x = 153,065.37 × 52,086.06
  4. Step 4: Simplify right side
    102,033.06x = 7,972,572,045.74
  5. Step 5: Solve for x
    x = 7,972,572,045.74/102,033.06
  6. Step 6: Final answer
    x = 78,137.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.