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Finding the Fourth Proportional to 263,783.59, 364,004.08 and 168,280

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Solution

The fourth proportional to 263,783.59, 364,004.08 and 168,280 is: 232,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,783.59 : 364,004.08 = 168,280 : x
  2. Step 2: Convert to fraction form
    263,783.59/364,004.08 = 168,280/x
  3. Step 3: Cross multiply
    263,783.59x = 364,004.08 × 168,280
  4. Step 4: Simplify right side
    263,783.59x = 61,254,606,582.40
  5. Step 5: Solve for x
    x = 61,254,606,582.40/263,783.59
  6. Step 6: Final answer
    x = 232,215.38

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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.