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Finding the Fourth Proportional to 112,714.14, 169,007.88 and 77,215.49

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Solution

The fourth proportional to 112,714.14, 169,007.88 and 77,215.49 is: 115,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,714.14 : 169,007.88 = 77,215.49 : x
  2. Step 2: Convert to fraction form
    112,714.14/169,007.88 = 77,215.49/x
  3. Step 3: Cross multiply
    112,714.14x = 169,007.88 × 77,215.49
  4. Step 4: Simplify right side
    112,714.14x = 13,050,026,268.06
  5. Step 5: Solve for x
    x = 13,050,026,268.06/112,714.14
  6. Step 6: Final answer
    x = 115,779.85

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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.