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Finding the Fourth Proportional to 177,466.60, 265,811.10 and 154,138.60

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Solution

The fourth proportional to 177,466.60, 265,811.10 and 154,138.60 is: 230,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,466.60 : 265,811.10 = 154,138.60 : x
  2. Step 2: Convert to fraction form
    177,466.60/265,811.10 = 154,138.60/x
  3. Step 3: Cross multiply
    177,466.60x = 265,811.10 × 154,138.60
  4. Step 4: Simplify right side
    177,466.60x = 40,971,750,818.46
  5. Step 5: Solve for x
    x = 40,971,750,818.46/177,466.60
  6. Step 6: Final answer
    x = 230,870.21

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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.