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Finding the Fourth Proportional to 177,022.40, 265,533.60 and 106,865.60

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Solution

The fourth proportional to 177,022.40, 265,533.60 and 106,865.60 is: 160,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,022.40 : 265,533.60 = 106,865.60 : x
  2. Step 2: Convert to fraction form
    177,022.40/265,533.60 = 106,865.60/x
  3. Step 3: Cross multiply
    177,022.40x = 265,533.60 × 106,865.60
  4. Step 4: Simplify right side
    177,022.40x = 28,376,407,484.16
  5. Step 5: Solve for x
    x = 28,376,407,484.16/177,022.40
  6. Step 6: Final answer
    x = 160,298.40

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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.