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Finding the Fourth Proportional to 175,374.40, 263,061.60 and 100,465.60

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Solution

The fourth proportional to 175,374.40, 263,061.60 and 100,465.60 is: 150,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,374.40 : 263,061.60 = 100,465.60 : x
  2. Step 2: Convert to fraction form
    175,374.40/263,061.60 = 100,465.60/x
  3. Step 3: Cross multiply
    175,374.40x = 263,061.60 × 100,465.60
  4. Step 4: Simplify right side
    175,374.40x = 26,428,641,480.96
  5. Step 5: Solve for x
    x = 26,428,641,480.96/175,374.40
  6. Step 6: Final answer
    x = 150,698.40

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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.