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Finding the Fourth Proportional to 152,126.94, 209,930.76 and 84,146.62

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Solution

The fourth proportional to 152,126.94, 209,930.76 and 84,146.62 is: 116,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,126.94 : 209,930.76 = 84,146.62 : x
  2. Step 2: Convert to fraction form
    152,126.94/209,930.76 = 84,146.62/x
  3. Step 3: Cross multiply
    152,126.94x = 209,930.76 × 84,146.62
  4. Step 4: Simplify right side
    152,126.94x = 17,664,963,888.03
  5. Step 5: Solve for x
    x = 17,664,963,888.03/152,126.94
  6. Step 6: Final answer
    x = 116,119.89

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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.