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Finding the Fourth Proportional to 181,851.84, 250,955.62 and 105,415.28

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Solution

The fourth proportional to 181,851.84, 250,955.62 and 105,415.28 is: 145,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,851.84 : 250,955.62 = 105,415.28 : x
  2. Step 2: Convert to fraction form
    181,851.84/250,955.62 = 105,415.28/x
  3. Step 3: Cross multiply
    181,851.84x = 250,955.62 × 105,415.28
  4. Step 4: Simplify right side
    181,851.84x = 26,454,555,983.71
  5. Step 5: Solve for x
    x = 26,454,555,983.71/181,851.84
  6. Step 6: Final answer
    x = 145,473.12

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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.