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Finding the Fourth Proportional to 186,783.04, 257,759.39 and 106,210.56

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Solution

The fourth proportional to 186,783.04, 257,759.39 and 106,210.56 is: 146,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,783.04 : 257,759.39 = 106,210.56 : x
  2. Step 2: Convert to fraction form
    186,783.04/257,759.39 = 106,210.56/x
  3. Step 3: Cross multiply
    186,783.04x = 257,759.39 × 106,210.56
  4. Step 4: Simplify right side
    186,783.04x = 27,376,768,626.11
  5. Step 5: Solve for x
    x = 27,376,768,626.11/186,783.04
  6. Step 6: Final answer
    x = 146,569.89

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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.