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Finding the Fourth Proportional to 152,952.70, 229,317.21 and 102,908.38

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Solution

The fourth proportional to 152,952.70, 229,317.21 and 102,908.38 is: 154,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,952.70 : 229,317.21 = 102,908.38 : x
  2. Step 2: Convert to fraction form
    152,952.70/229,317.21 = 102,908.38/x
  3. Step 3: Cross multiply
    152,952.70x = 229,317.21 × 102,908.38
  4. Step 4: Simplify right side
    152,952.70x = 23,598,662,587.22
  5. Step 5: Solve for x
    x = 23,598,662,587.22/152,952.70
  6. Step 6: Final answer
    x = 154,287.32

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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.