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Finding the Fourth Proportional to 223,875.36, 335,815.20 and 105,602.40

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Solution

The fourth proportional to 223,875.36, 335,815.20 and 105,602.40 is: 158,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,875.36 : 335,815.20 = 105,602.40 : x
  2. Step 2: Convert to fraction form
    223,875.36/335,815.20 = 105,602.40/x
  3. Step 3: Cross multiply
    223,875.36x = 335,815.20 × 105,602.40
  4. Step 4: Simplify right side
    223,875.36x = 35,462,891,076.48
  5. Step 5: Solve for x
    x = 35,462,891,076.48/223,875.36
  6. Step 6: Final answer
    x = 158,404.62

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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.