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Finding the Fourth Proportional to 233,551, 322,352.85 and 152,931.70

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Solution

The fourth proportional to 233,551, 322,352.85 and 152,931.70 is: 211,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,551 : 322,352.85 = 152,931.70 : x
  2. Step 2: Convert to fraction form
    233,551/322,352.85 = 152,931.70/x
  3. Step 3: Cross multiply
    233,551x = 322,352.85 × 152,931.70
  4. Step 4: Simplify right side
    233,551x = 49,297,969,350.35
  5. Step 5: Solve for x
    x = 49,297,969,350.35/233,551
  6. Step 6: Final answer
    x = 211,080.10

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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.