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Finding the Fourth Proportional to 163,225.64, 225,395.52 and 102,897.38

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Solution

The fourth proportional to 163,225.64, 225,395.52 and 102,897.38 is: 142,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,225.64 : 225,395.52 = 102,897.38 : x
  2. Step 2: Convert to fraction form
    163,225.64/225,395.52 = 102,897.38/x
  3. Step 3: Cross multiply
    163,225.64x = 225,395.52 × 102,897.38
  4. Step 4: Simplify right side
    163,225.64x = 23,192,608,471.74
  5. Step 5: Solve for x
    x = 23,192,608,471.74/163,225.64
  6. Step 6: Final answer
    x = 142,089.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.