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Finding the Fourth Proportional to 193,051.60, 289,577.40 and 163,891.60

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Solution

The fourth proportional to 193,051.60, 289,577.40 and 163,891.60 is: 245,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,051.60 : 289,577.40 = 163,891.60 : x
  2. Step 2: Convert to fraction form
    193,051.60/289,577.40 = 163,891.60/x
  3. Step 3: Cross multiply
    193,051.60x = 289,577.40 × 163,891.60
  4. Step 4: Simplify right side
    193,051.60x = 47,459,303,409.84
  5. Step 5: Solve for x
    x = 47,459,303,409.84/193,051.60
  6. Step 6: Final answer
    x = 245,837.40

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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.