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Finding the Fourth Proportional to 177,846.60, 245,461.14 and 114,263.88

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Solution

The fourth proportional to 177,846.60, 245,461.14 and 114,263.88 is: 157,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,846.60 : 245,461.14 = 114,263.88 : x
  2. Step 2: Convert to fraction form
    177,846.60/245,461.14 = 114,263.88/x
  3. Step 3: Cross multiply
    177,846.60x = 245,461.14 × 114,263.88
  4. Step 4: Simplify right side
    177,846.60x = 28,047,342,245.62
  5. Step 5: Solve for x
    x = 28,047,342,245.62/177,846.60
  6. Step 6: Final answer
    x = 157,705.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.