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Finding the Fourth Proportional to 102,224.70, 153,387.27 and 46,103.58

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Solution

The fourth proportional to 102,224.70, 153,387.27 and 46,103.58 is: 69,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224.70 : 153,387.27 = 46,103.58 : x
  2. Step 2: Convert to fraction form
    102,224.70/153,387.27 = 46,103.58/x
  3. Step 3: Cross multiply
    102,224.70x = 153,387.27 × 46,103.58
  4. Step 4: Simplify right side
    102,224.70x = 7,071,702,273.43
  5. Step 5: Solve for x
    x = 7,071,702,273.43/102,224.70
  6. Step 6: Final answer
    x = 69,178.02

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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.