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Finding the Fourth Proportional to 200,818.40, 301,054.80 and 102,322.40

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Solution

The fourth proportional to 200,818.40, 301,054.80 and 102,322.40 is: 153,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,818.40 : 301,054.80 = 102,322.40 : x
  2. Step 2: Convert to fraction form
    200,818.40/301,054.80 = 102,322.40/x
  3. Step 3: Cross multiply
    200,818.40x = 301,054.80 × 102,322.40
  4. Step 4: Simplify right side
    200,818.40x = 30,804,649,667.52
  5. Step 5: Solve for x
    x = 30,804,649,667.52/200,818.40
  6. Step 6: Final answer
    x = 153,395.55

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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.