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Finding the Fourth Proportional to 438,097.92, 657,147.60 and 105,673.92

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Solution

The fourth proportional to 438,097.92, 657,147.60 and 105,673.92 is: 158,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,097.92 : 657,147.60 = 105,673.92 : x
  2. Step 2: Convert to fraction form
    438,097.92/657,147.60 = 105,673.92/x
  3. Step 3: Cross multiply
    438,097.92x = 657,147.60 × 105,673.92
  4. Step 4: Simplify right side
    438,097.92x = 69,443,362,910.59
  5. Step 5: Solve for x
    x = 69,443,362,910.59/438,097.92
  6. Step 6: Final answer
    x = 158,511.05

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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.