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Finding the Fourth Proportional to 98,277.72, 135,485.88 and 83,109.48

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Solution

The fourth proportional to 98,277.72, 135,485.88 and 83,109.48 is: 114,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,277.72 : 135,485.88 = 83,109.48 : x
  2. Step 2: Convert to fraction form
    98,277.72/135,485.88 = 83,109.48/x
  3. Step 3: Cross multiply
    98,277.72x = 135,485.88 × 83,109.48
  4. Step 4: Simplify right side
    98,277.72x = 11,260,161,034.14
  5. Step 5: Solve for x
    x = 11,260,161,034.14/98,277.72
  6. Step 6: Final answer
    x = 114,574.91

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1.5x scale

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.