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Finding the Fourth Proportional to 102,159.84, 140,981.87 and 56,224.77

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Solution

The fourth proportional to 102,159.84, 140,981.87 and 56,224.77 is: 77,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159.84 : 140,981.87 = 56,224.77 : x
  2. Step 2: Convert to fraction form
    102,159.84/140,981.87 = 56,224.77/x
  3. Step 3: Cross multiply
    102,159.84x = 140,981.87 × 56,224.77
  4. Step 4: Simplify right side
    102,159.84x = 7,926,673,214.92
  5. Step 5: Solve for x
    x = 7,926,673,214.92/102,159.84
  6. Step 6: Final answer
    x = 77,590.89

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