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Finding the Fourth Proportional to 223,777.60, 335,666.40 and 105,409.60

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Solution

The fourth proportional to 223,777.60, 335,666.40 and 105,409.60 is: 158,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,777.60 : 335,666.40 = 105,409.60 : x
  2. Step 2: Convert to fraction form
    223,777.60/335,666.40 = 105,409.60/x
  3. Step 3: Cross multiply
    223,777.60x = 335,666.40 × 105,409.60
  4. Step 4: Simplify right side
    223,777.60x = 35,382,460,957.44
  5. Step 5: Solve for x
    x = 35,382,460,957.44/223,777.60
  6. Step 6: Final answer
    x = 158,114.40

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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.