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Finding the Fourth Proportional to 147,819, 221,730.42 and 49,323

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Solution

The fourth proportional to 147,819, 221,730.42 and 49,323 is: 73,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,819 : 221,730.42 = 49,323 : x
  2. Step 2: Convert to fraction form
    147,819/221,730.42 = 49,323/x
  3. Step 3: Cross multiply
    147,819x = 221,730.42 × 49,323
  4. Step 4: Simplify right side
    147,819x = 10,936,409,505.66
  5. Step 5: Solve for x
    x = 10,936,409,505.66/147,819
  6. Step 6: Final answer
    x = 73,985.14

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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.