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Finding the Fourth Proportional to 97,802.54, 146,703.81 and 53,405.07

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Solution

The fourth proportional to 97,802.54, 146,703.81 and 53,405.07 is: 80,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,802.54 : 146,703.81 = 53,405.07 : x
  2. Step 2: Convert to fraction form
    97,802.54/146,703.81 = 53,405.07/x
  3. Step 3: Cross multiply
    97,802.54x = 146,703.81 × 53,405.07
  4. Step 4: Simplify right side
    97,802.54x = 7,834,726,241.77
  5. Step 5: Solve for x
    x = 7,834,726,241.77/97,802.54
  6. Step 6: Final answer
    x = 80,107.59

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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.