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Finding the Fourth Proportional to 177,464.70, 265,927.70 and 130,111.32

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Solution

The fourth proportional to 177,464.70, 265,927.70 and 130,111.32 is: 194,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,464.70 : 265,927.70 = 130,111.32 : x
  2. Step 2: Convert to fraction form
    177,464.70/265,927.70 = 130,111.32/x
  3. Step 3: Cross multiply
    177,464.70x = 265,927.70 × 130,111.32
  4. Step 4: Simplify right side
    177,464.70x = 34,600,204,071.56
  5. Step 5: Solve for x
    x = 34,600,204,071.56/177,464.70
  6. Step 6: Final answer
    x = 194,969.50

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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.