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Finding the Fourth Proportional to 153,714, 212,128.56 and 86,646

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Solution

The fourth proportional to 153,714, 212,128.56 and 86,646 is: 119,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,714 : 212,128.56 = 86,646 : x
  2. Step 2: Convert to fraction form
    153,714/212,128.56 = 86,646/x
  3. Step 3: Cross multiply
    153,714x = 212,128.56 × 86,646
  4. Step 4: Simplify right side
    153,714x = 18,380,091,209.76
  5. Step 5: Solve for x
    x = 18,380,091,209.76/153,714
  6. Step 6: Final answer
    x = 119,573.31

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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.