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Finding the Fourth Proportional to 334,152, 461,129.76 and 183,249

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Solution

The fourth proportional to 334,152, 461,129.76 and 183,249 is: 252,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,152 : 461,129.76 = 183,249 : x
  2. Step 2: Convert to fraction form
    334,152/461,129.76 = 183,249/x
  3. Step 3: Cross multiply
    334,152x = 461,129.76 × 183,249
  4. Step 4: Simplify right side
    334,152x = 84,501,567,390.24
  5. Step 5: Solve for x
    x = 84,501,567,390.24/334,152
  6. Step 6: Final answer
    x = 252,883.62

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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.