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Finding the Fourth Proportional to 177,633, 245,133.54 and 102,181.50

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Solution

The fourth proportional to 177,633, 245,133.54 and 102,181.50 is: 141,010.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,633 : 245,133.54 = 102,181.50 : x
  2. Step 2: Convert to fraction form
    177,633/245,133.54 = 102,181.50/x
  3. Step 3: Cross multiply
    177,633x = 245,133.54 × 102,181.50
  4. Step 4: Simplify right side
    177,633x = 25,048,112,817.51
  5. Step 5: Solve for x
    x = 25,048,112,817.51/177,633
  6. Step 6: Final answer
    x = 141,010.47

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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.