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Finding the Fourth Proportional to 185,802.40, 278,541.60 and 126,445.60

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Solution

The fourth proportional to 185,802.40, 278,541.60 and 126,445.60 is: 189,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,802.40 : 278,541.60 = 126,445.60 : x
  2. Step 2: Convert to fraction form
    185,802.40/278,541.60 = 126,445.60/x
  3. Step 3: Cross multiply
    185,802.40x = 278,541.60 × 126,445.60
  4. Step 4: Simplify right side
    185,802.40x = 35,220,359,736.96
  5. Step 5: Solve for x
    x = 35,220,359,736.96/185,802.40
  6. Step 6: Final answer
    x = 189,558.15

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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.