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Finding the Fourth Proportional to 83,208.16, 114,911.13 and 53,007.10

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Solution

The fourth proportional to 83,208.16, 114,911.13 and 53,007.10 is: 73,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,208.16 : 114,911.13 = 53,007.10 : x
  2. Step 2: Convert to fraction form
    83,208.16/114,911.13 = 53,007.10/x
  3. Step 3: Cross multiply
    83,208.16x = 114,911.13 × 53,007.10
  4. Step 4: Simplify right side
    83,208.16x = 6,091,105,759.02
  5. Step 5: Solve for x
    x = 6,091,105,759.02/83,208.16
  6. Step 6: Final answer
    x = 73,203.23

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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.