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Finding the Fourth Proportional to 264,533.72, 364,999.74 and 157,139.96

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Solution

The fourth proportional to 264,533.72, 364,999.74 and 157,139.96 is: 216,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,533.72 : 364,999.74 = 157,139.96 : x
  2. Step 2: Convert to fraction form
    264,533.72/364,999.74 = 157,139.96/x
  3. Step 3: Cross multiply
    264,533.72x = 364,999.74 × 157,139.96
  4. Step 4: Simplify right side
    264,533.72x = 57,356,044,543.61
  5. Step 5: Solve for x
    x = 57,356,044,543.61/264,533.72
  6. Step 6: Final answer
    x = 216,819.41

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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.