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Finding the Fourth Proportional to 255,841.47, 353,085.39 and 146,961

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Solution

The fourth proportional to 255,841.47, 353,085.39 and 146,961 is: 202,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,841.47 : 353,085.39 = 146,961 : x
  2. Step 2: Convert to fraction form
    255,841.47/353,085.39 = 146,961/x
  3. Step 3: Cross multiply
    255,841.47x = 353,085.39 × 146,961
  4. Step 4: Simplify right side
    255,841.47x = 51,889,781,999.79
  5. Step 5: Solve for x
    x = 51,889,781,999.79/255,841.47
  6. Step 6: Final answer
    x = 202,820.06

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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.