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Finding the Fourth Proportional to 102,019.14, 140,783.04 and 56,078.94

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Solution

The fourth proportional to 102,019.14, 140,783.04 and 56,078.94 is: 77,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,019.14 : 140,783.04 = 56,078.94 : x
  2. Step 2: Convert to fraction form
    102,019.14/140,783.04 = 56,078.94/x
  3. Step 3: Cross multiply
    102,019.14x = 140,783.04 × 56,078.94
  4. Step 4: Simplify right side
    102,019.14x = 7,894,963,335.54
  5. Step 5: Solve for x
    x = 7,894,963,335.54/102,019.14
  6. Step 6: Final answer
    x = 77,387.08

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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.