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Finding the Fourth Proportional to 177,922, 245,532.54 and 102,470.68

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Solution

The fourth proportional to 177,922, 245,532.54 and 102,470.68 is: 141,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,922 : 245,532.54 = 102,470.68 : x
  2. Step 2: Convert to fraction form
    177,922/245,532.54 = 102,470.68/x
  3. Step 3: Cross multiply
    177,922x = 245,532.54 × 102,470.68
  4. Step 4: Simplify right side
    177,922x = 25,159,886,335.93
  5. Step 5: Solve for x
    x = 25,159,886,335.93/177,922
  6. Step 6: Final answer
    x = 141,409.64

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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.