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Finding the Fourth Proportional to 264,204.38, 364,602.06 and 151,029.56

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Solution

The fourth proportional to 264,204.38, 364,602.06 and 151,029.56 is: 208,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,204.38 : 364,602.06 = 151,029.56 : x
  2. Step 2: Convert to fraction form
    264,204.38/364,602.06 = 151,029.56/x
  3. Step 3: Cross multiply
    264,204.38x = 364,602.06 × 151,029.56
  4. Step 4: Simplify right side
    264,204.38x = 55,065,688,696.89
  5. Step 5: Solve for x
    x = 55,065,688,696.89/264,204.38
  6. Step 6: Final answer
    x = 208,420.80

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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.