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Finding the Fourth Proportional to 216,710.64, 325,080.54 and 83,592

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Solution

The fourth proportional to 216,710.64, 325,080.54 and 83,592 is: 125,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,710.64 : 325,080.54 = 83,592 : x
  2. Step 2: Convert to fraction form
    216,710.64/325,080.54 = 83,592/x
  3. Step 3: Cross multiply
    216,710.64x = 325,080.54 × 83,592
  4. Step 4: Simplify right side
    216,710.64x = 27,174,132,499.68
  5. Step 5: Solve for x
    x = 27,174,132,499.68/216,710.64
  6. Step 6: Final answer
    x = 125,393.62

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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.