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Finding the Fourth Proportional to 307,336, 424,123.76 and 166,024

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Solution

The fourth proportional to 307,336, 424,123.76 and 166,024 is: 229,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,336 : 424,123.76 = 166,024 : x
  2. Step 2: Convert to fraction form
    307,336/424,123.76 = 166,024/x
  3. Step 3: Cross multiply
    307,336x = 424,123.76 × 166,024
  4. Step 4: Simplify right side
    307,336x = 70,414,723,130.24
  5. Step 5: Solve for x
    x = 70,414,723,130.24/307,336
  6. Step 6: Final answer
    x = 229,113.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.