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Finding the Fourth Proportional to 292,273.16, 438,146.46 and 105,153

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Solution

The fourth proportional to 292,273.16, 438,146.46 and 105,153 is: 157,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,273.16 : 438,146.46 = 105,153 : x
  2. Step 2: Convert to fraction form
    292,273.16/438,146.46 = 105,153/x
  3. Step 3: Cross multiply
    292,273.16x = 438,146.46 × 105,153
  4. Step 4: Simplify right side
    292,273.16x = 46,072,414,708.38
  5. Step 5: Solve for x
    x = 46,072,414,708.38/292,273.16
  6. Step 6: Final answer
    x = 157,634.78

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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.