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Finding the Fourth Proportional to 138,464.56, 190,955.64 and 90,700.48

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Solution

The fourth proportional to 138,464.56, 190,955.64 and 90,700.48 is: 125,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,464.56 : 190,955.64 = 90,700.48 : x
  2. Step 2: Convert to fraction form
    138,464.56/190,955.64 = 90,700.48/x
  3. Step 3: Cross multiply
    138,464.56x = 190,955.64 × 90,700.48
  4. Step 4: Simplify right side
    138,464.56x = 17,319,768,206.71
  5. Step 5: Solve for x
    x = 17,319,768,206.71/138,464.56
  6. Step 6: Final answer
    x = 125,084.49

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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.