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Finding the Fourth Proportional to 241,744, 362,356.80 and 116,809.60

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Solution

The fourth proportional to 241,744, 362,356.80 and 116,809.60 is: 175,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,744 : 362,356.80 = 116,809.60 : x
  2. Step 2: Convert to fraction form
    241,744/362,356.80 = 116,809.60/x
  3. Step 3: Cross multiply
    241,744x = 362,356.80 × 116,809.60
  4. Step 4: Simplify right side
    241,744x = 42,326,752,865.28
  5. Step 5: Solve for x
    x = 42,326,752,865.28/241,744
  6. Step 6: Final answer
    x = 175,089.16

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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.