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Finding the Fourth Proportional to 102,026, 140,795.88 and 57,314

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Solution

The fourth proportional to 102,026, 140,795.88 and 57,314 is: 79,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,026 : 140,795.88 = 57,314 : x
  2. Step 2: Convert to fraction form
    102,026/140,795.88 = 57,314/x
  3. Step 3: Cross multiply
    102,026x = 140,795.88 × 57,314
  4. Step 4: Simplify right side
    102,026x = 8,069,575,066.32
  5. Step 5: Solve for x
    x = 8,069,575,066.32/102,026
  6. Step 6: Final answer
    x = 79,093.32

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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.