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Finding the Fourth Proportional to 174,368.25, 261,554.81 and 49,709.25

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Solution

The fourth proportional to 174,368.25, 261,554.81 and 49,709.25 is: 74,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,368.25 : 261,554.81 = 49,709.25 : x
  2. Step 2: Convert to fraction form
    174,368.25/261,554.81 = 49,709.25/x
  3. Step 3: Cross multiply
    174,368.25x = 261,554.81 × 49,709.25
  4. Step 4: Simplify right side
    174,368.25x = 13,001,693,190.45
  5. Step 5: Solve for x
    x = 13,001,693,190.45/174,368.25
  6. Step 6: Final answer
    x = 74,564.57

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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.