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Finding the Fourth Proportional to 186,558.84, 257,457.42 and 101,678.94

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Solution

The fourth proportional to 186,558.84, 257,457.42 and 101,678.94 is: 140,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,558.84 : 257,457.42 = 101,678.94 : x
  2. Step 2: Convert to fraction form
    186,558.84/257,457.42 = 101,678.94/x
  3. Step 3: Cross multiply
    186,558.84x = 257,457.42 × 101,678.94
  4. Step 4: Simplify right side
    186,558.84x = 26,177,997,560.73
  5. Step 5: Solve for x
    x = 26,177,997,560.73/186,558.84
  6. Step 6: Final answer
    x = 140,320.33

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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.