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Finding the Fourth Proportional to 292,490.98, 438,736.56 and 105,502.48

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Solution

The fourth proportional to 292,490.98, 438,736.56 and 105,502.48 is: 158,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,490.98 : 438,736.56 = 105,502.48 : x
  2. Step 2: Convert to fraction form
    292,490.98/438,736.56 = 105,502.48/x
  3. Step 3: Cross multiply
    292,490.98x = 438,736.56 × 105,502.48
  4. Step 4: Simplify right side
    292,490.98x = 46,287,795,146.67
  5. Step 5: Solve for x
    x = 46,287,795,146.67/292,490.98
  6. Step 6: Final answer
    x = 158,253.75

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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.