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Finding the Fourth Proportional to 307,316, 424,096.08 and 166,004

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Solution

The fourth proportional to 307,316, 424,096.08 and 166,004 is: 229,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,316 : 424,096.08 = 166,004 : x
  2. Step 2: Convert to fraction form
    307,316/424,096.08 = 166,004/x
  3. Step 3: Cross multiply
    307,316x = 424,096.08 × 166,004
  4. Step 4: Simplify right side
    307,316x = 70,401,645,664.32
  5. Step 5: Solve for x
    x = 70,401,645,664.32/307,316
  6. Step 6: Final answer
    x = 229,085.52

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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.