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Finding the Fourth Proportional to 292,214.08, 438,057.96 and 105,094

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Solution

The fourth proportional to 292,214.08, 438,057.96 and 105,094 is: 157,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,214.08 : 438,057.96 = 105,094 : x
  2. Step 2: Convert to fraction form
    292,214.08/438,057.96 = 105,094/x
  3. Step 3: Cross multiply
    292,214.08x = 438,057.96 × 105,094
  4. Step 4: Simplify right side
    292,214.08x = 46,037,263,248.24
  5. Step 5: Solve for x
    x = 46,037,263,248.24/292,214.08
  6. Step 6: Final answer
    x = 157,546.36

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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.