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Finding the Fourth Proportional to 278,030.70, 383,523.51 and 164,812.14

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Solution

The fourth proportional to 278,030.70, 383,523.51 and 164,812.14 is: 227,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,030.70 : 383,523.51 = 164,812.14 : x
  2. Step 2: Convert to fraction form
    278,030.70/383,523.51 = 164,812.14/x
  3. Step 3: Cross multiply
    278,030.70x = 383,523.51 × 164,812.14
  4. Step 4: Simplify right side
    278,030.70x = 63,209,330,423.41
  5. Step 5: Solve for x
    x = 63,209,330,423.41/278,030.70
  6. Step 6: Final answer
    x = 227,346.59

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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.