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Finding the Fourth Proportional to 102,246.25, 153,369.39 and 46,842.25

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Solution

The fourth proportional to 102,246.25, 153,369.39 and 46,842.25 is: 70,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,246.25 : 153,369.39 = 46,842.25 : x
  2. Step 2: Convert to fraction form
    102,246.25/153,369.39 = 46,842.25/x
  3. Step 3: Cross multiply
    102,246.25x = 153,369.39 × 46,842.25
  4. Step 4: Simplify right side
    102,246.25x = 7,184,167,308.73
  5. Step 5: Solve for x
    x = 7,184,167,308.73/102,246.25
  6. Step 6: Final answer
    x = 70,263.38

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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.