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Finding the Fourth Proportional to 186,852, 257,855.76 and 119,784

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Solution

The fourth proportional to 186,852, 257,855.76 and 119,784 is: 165,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,852 : 257,855.76 = 119,784 : x
  2. Step 2: Convert to fraction form
    186,852/257,855.76 = 119,784/x
  3. Step 3: Cross multiply
    186,852x = 257,855.76 × 119,784
  4. Step 4: Simplify right side
    186,852x = 30,886,994,355.84
  5. Step 5: Solve for x
    x = 30,886,994,355.84/186,852
  6. Step 6: Final answer
    x = 165,301.92

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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.