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Finding the Fourth Proportional to 302,000.31, 416,763.23 and 166,035.21

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Solution

The fourth proportional to 302,000.31, 416,763.23 and 166,035.21 is: 229,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,000.31 : 416,763.23 = 166,035.21 : x
  2. Step 2: Convert to fraction form
    302,000.31/416,763.23 = 166,035.21/x
  3. Step 3: Cross multiply
    302,000.31x = 416,763.23 × 166,035.21
  4. Step 4: Simplify right side
    302,000.31x = 69,197,370,413.33
  5. Step 5: Solve for x
    x = 69,197,370,413.33/302,000.31
  6. Step 6: Final answer
    x = 229,130.13

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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.