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Finding the Fourth Proportional to 176,739.60, 265,109.40 and 83,427.60

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Solution

The fourth proportional to 176,739.60, 265,109.40 and 83,427.60 is: 125,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,739.60 : 265,109.40 = 83,427.60 : x
  2. Step 2: Convert to fraction form
    176,739.60/265,109.40 = 83,427.60/x
  3. Step 3: Cross multiply
    176,739.60x = 265,109.40 × 83,427.60
  4. Step 4: Simplify right side
    176,739.60x = 22,117,440,979.44
  5. Step 5: Solve for x
    x = 22,117,440,979.44/176,739.60
  6. Step 6: Final answer
    x = 125,141.40

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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.