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Finding the Fourth Proportional to 116,105.84, 174,158.58 and 76,653.71

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Solution

The fourth proportional to 116,105.84, 174,158.58 and 76,653.71 is: 114,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,105.84 : 174,158.58 = 76,653.71 : x
  2. Step 2: Convert to fraction form
    116,105.84/174,158.58 = 76,653.71/x
  3. Step 3: Cross multiply
    116,105.84x = 174,158.58 × 76,653.71
  4. Step 4: Simplify right side
    116,105.84x = 13,349,901,285.33
  5. Step 5: Solve for x
    x = 13,349,901,285.33/116,105.84
  6. Step 6: Final answer
    x = 114,980.45

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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.