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Finding the Fourth Proportional to 292,493.98, 438,741.06 and 105,505.48

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Solution

The fourth proportional to 292,493.98, 438,741.06 and 105,505.48 is: 158,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,493.98 : 438,741.06 = 105,505.48 : x
  2. Step 2: Convert to fraction form
    292,493.98/438,741.06 = 105,505.48/x
  3. Step 3: Cross multiply
    292,493.98x = 438,741.06 × 105,505.48
  4. Step 4: Simplify right side
    292,493.98x = 46,289,586,131.01
  5. Step 5: Solve for x
    x = 46,289,586,131.01/292,493.98
  6. Step 6: Final answer
    x = 158,258.25

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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.