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Finding the Fourth Proportional to 97,810.80, 146,255.40 and 72,927.60

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Solution

The fourth proportional to 97,810.80, 146,255.40 and 72,927.60 is: 109,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,810.80 : 146,255.40 = 72,927.60 : x
  2. Step 2: Convert to fraction form
    97,810.80/146,255.40 = 72,927.60/x
  3. Step 3: Cross multiply
    97,810.80x = 146,255.40 × 72,927.60
  4. Step 4: Simplify right side
    97,810.80x = 10,666,055,309.04
  5. Step 5: Solve for x
    x = 10,666,055,309.04/97,810.80
  6. Step 6: Final answer
    x = 109,047.83

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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.