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Finding the Fourth Proportional to 76,852.80, 115,084.80 and 61,300.80

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Solution

The fourth proportional to 76,852.80, 115,084.80 and 61,300.80 is: 91,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852.80 : 115,084.80 = 61,300.80 : x
  2. Step 2: Convert to fraction form
    76,852.80/115,084.80 = 61,300.80/x
  3. Step 3: Cross multiply
    76,852.80x = 115,084.80 × 61,300.80
  4. Step 4: Simplify right side
    76,852.80x = 7,054,790,307.84
  5. Step 5: Solve for x
    x = 7,054,790,307.84/76,852.80
  6. Step 6: Final answer
    x = 91,796.14

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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.