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Finding the Fourth Proportional to 233,540.40, 322,267.20 and 152,840.10

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Solution

The fourth proportional to 233,540.40, 322,267.20 and 152,840.10 is: 210,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,540.40 : 322,267.20 = 152,840.10 : x
  2. Step 2: Convert to fraction form
    233,540.40/322,267.20 = 152,840.10/x
  3. Step 3: Cross multiply
    233,540.40x = 322,267.20 × 152,840.10
  4. Step 4: Simplify right side
    233,540.40x = 49,255,351,074.72
  5. Step 5: Solve for x
    x = 49,255,351,074.72/233,540.40
  6. Step 6: Final answer
    x = 210,907.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.