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Finding the Fourth Proportional to 177,584.70, 245,063.80 and 97,010.16

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Solution

The fourth proportional to 177,584.70, 245,063.80 and 97,010.16 is: 133,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,584.70 : 245,063.80 = 97,010.16 : x
  2. Step 2: Convert to fraction form
    177,584.70/245,063.80 = 97,010.16/x
  3. Step 3: Cross multiply
    177,584.70x = 245,063.80 × 97,010.16
  4. Step 4: Simplify right side
    177,584.70x = 23,773,678,448.21
  5. Step 5: Solve for x
    x = 23,773,678,448.21/177,584.70
  6. Step 6: Final answer
    x = 133,872.33

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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.