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Finding the Fourth Proportional to 146,506.67, 202,065.13 and 98,093.21

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Solution

The fourth proportional to 146,506.67, 202,065.13 and 98,093.21 is: 135,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,506.67 : 202,065.13 = 98,093.21 : x
  2. Step 2: Convert to fraction form
    146,506.67/202,065.13 = 98,093.21/x
  3. Step 3: Cross multiply
    146,506.67x = 202,065.13 × 98,093.21
  4. Step 4: Simplify right side
    146,506.67x = 19,821,218,332.14
  5. Step 5: Solve for x
    x = 19,821,218,332.14/146,506.67
  6. Step 6: Final answer
    x = 135,292.25

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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.