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Finding the Fourth Proportional to 152,133.42, 209,945.49 and 84,146.82

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Solution

The fourth proportional to 152,133.42, 209,945.49 and 84,146.82 is: 116,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,133.42 : 209,945.49 = 84,146.82 : x
  2. Step 2: Convert to fraction form
    152,133.42/209,945.49 = 84,146.82/x
  3. Step 3: Cross multiply
    152,133.42x = 209,945.49 × 84,146.82
  4. Step 4: Simplify right side
    152,133.42x = 17,666,245,356.84
  5. Step 5: Solve for x
    x = 17,666,245,356.84/152,133.42
  6. Step 6: Final answer
    x = 116,123.37

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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.