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Finding the Fourth Proportional to 152,055.13, 209,830.78 and 83,146.20

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Solution

The fourth proportional to 152,055.13, 209,830.78 and 83,146.20 is: 114,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,055.13 : 209,830.78 = 83,146.20 : x
  2. Step 2: Convert to fraction form
    152,055.13/209,830.78 = 83,146.20/x
  3. Step 3: Cross multiply
    152,055.13x = 209,830.78 × 83,146.20
  4. Step 4: Simplify right side
    152,055.13x = 17,446,632,000.04
  5. Step 5: Solve for x
    x = 17,446,632,000.04/152,055.13
  6. Step 6: Final answer
    x = 114,738.86

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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.