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Finding the Fourth Proportional to 292,489.98, 438,735.06 and 105,501.48

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Solution

The fourth proportional to 292,489.98, 438,735.06 and 105,501.48 is: 158,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,489.98 : 438,735.06 = 105,501.48 : x
  2. Step 2: Convert to fraction form
    292,489.98/438,735.06 = 105,501.48/x
  3. Step 3: Cross multiply
    292,489.98x = 438,735.06 × 105,501.48
  4. Step 4: Simplify right side
    292,489.98x = 46,287,198,157.89
  5. Step 5: Solve for x
    x = 46,287,198,157.89/292,489.98
  6. Step 6: Final answer
    x = 158,252.25

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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.