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Finding the Fourth Proportional to 152,904.84, 211,007.22 and 85,836.36

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Solution

The fourth proportional to 152,904.84, 211,007.22 and 85,836.36 is: 118,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,904.84 : 211,007.22 = 85,836.36 : x
  2. Step 2: Convert to fraction form
    152,904.84/211,007.22 = 85,836.36/x
  3. Step 3: Cross multiply
    152,904.84x = 211,007.22 × 85,836.36
  4. Step 4: Simplify right side
    152,904.84x = 18,112,091,698.52
  5. Step 5: Solve for x
    x = 18,112,091,698.52/152,904.84
  6. Step 6: Final answer
    x = 118,453.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.