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Finding the Fourth Proportional to 177,546, 245,013.45 and 96,973.74

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Solution

The fourth proportional to 177,546, 245,013.45 and 96,973.74 is: 133,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,546 : 245,013.45 = 96,973.74 : x
  2. Step 2: Convert to fraction form
    177,546/245,013.45 = 96,973.74/x
  3. Step 3: Cross multiply
    177,546x = 245,013.45 × 96,973.74
  4. Step 4: Simplify right side
    177,546x = 23,759,870,596.80
  5. Step 5: Solve for x
    x = 23,759,870,596.80/177,546
  6. Step 6: Final answer
    x = 133,823.74

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