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Finding the Fourth Proportional to 383,158, 575,001.06 and 133,840

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Solution

The fourth proportional to 383,158, 575,001.06 and 133,840 is: 200,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,158 : 575,001.06 = 133,840 : x
  2. Step 2: Convert to fraction form
    383,158/575,001.06 = 133,840/x
  3. Step 3: Cross multiply
    383,158x = 575,001.06 × 133,840
  4. Step 4: Simplify right side
    383,158x = 76,958,141,870.40
  5. Step 5: Solve for x
    x = 76,958,141,870.40/383,158
  6. Step 6: Final answer
    x = 200,852.24

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