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Finding the Fourth Proportional to 216,716.64, 325,089.56 and 83,598

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Solution

The fourth proportional to 216,716.64, 325,089.56 and 83,598 is: 125,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,716.64 : 325,089.56 = 83,598 : x
  2. Step 2: Convert to fraction form
    216,716.64/325,089.56 = 83,598/x
  3. Step 3: Cross multiply
    216,716.64x = 325,089.56 × 83,598
  4. Step 4: Simplify right side
    216,716.64x = 27,176,837,036.88
  5. Step 5: Solve for x
    x = 27,176,837,036.88/216,716.64
  6. Step 6: Final answer
    x = 125,402.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.