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Finding the Fourth Proportional to 301,202.90, 415,657.53 and 163,381.48

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Solution

The fourth proportional to 301,202.90, 415,657.53 and 163,381.48 is: 225,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,202.90 : 415,657.53 = 163,381.48 : x
  2. Step 2: Convert to fraction form
    301,202.90/415,657.53 = 163,381.48/x
  3. Step 3: Cross multiply
    301,202.90x = 415,657.53 × 163,381.48
  4. Step 4: Simplify right side
    301,202.90x = 67,910,742,424.54
  5. Step 5: Solve for x
    x = 67,910,742,424.54/301,202.90
  6. Step 6: Final answer
    x = 225,465.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.