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Finding the Fourth Proportional to 152,053.13, 209,828.03 and 83,144.20

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Solution

The fourth proportional to 152,053.13, 209,828.03 and 83,144.20 is: 114,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,053.13 : 209,828.03 = 83,144.20 : x
  2. Step 2: Convert to fraction form
    152,053.13/209,828.03 = 83,144.20/x
  3. Step 3: Cross multiply
    152,053.13x = 209,828.03 × 83,144.20
  4. Step 4: Simplify right side
    152,053.13x = 17,445,983,276.21
  5. Step 5: Solve for x
    x = 17,445,983,276.21/152,053.13
  6. Step 6: Final answer
    x = 114,736.10

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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.