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Finding the Fourth Proportional to 102,275.14, 153,208.50 and 81,250.78

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Solution

The fourth proportional to 102,275.14, 153,208.50 and 81,250.78 is: 121,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,275.14 : 153,208.50 = 81,250.78 : x
  2. Step 2: Convert to fraction form
    102,275.14/153,208.50 = 81,250.78/x
  3. Step 3: Cross multiply
    102,275.14x = 153,208.50 × 81,250.78
  4. Step 4: Simplify right side
    102,275.14x = 12,448,310,127.63
  5. Step 5: Solve for x
    x = 12,448,310,127.63/102,275.14
  6. Step 6: Final answer
    x = 121,713.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.