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Finding the Fourth Proportional to 299,148, 448,470.32 and 139,142.66

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Solution

The fourth proportional to 299,148, 448,470.32 and 139,142.66 is: 208,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,148 : 448,470.32 = 139,142.66 : x
  2. Step 2: Convert to fraction form
    299,148/448,470.32 = 139,142.66/x
  3. Step 3: Cross multiply
    299,148x = 448,470.32 × 139,142.66
  4. Step 4: Simplify right side
    299,148x = 62,401,354,724.88
  5. Step 5: Solve for x
    x = 62,401,354,724.88/299,148
  6. Step 6: Final answer
    x = 208,596.93

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Why These Related Problems?

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