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Finding the Fourth Proportional to 215,886.40, 323,829.60 and 202,753.60

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Solution

The fourth proportional to 215,886.40, 323,829.60 and 202,753.60 is: 304,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,886.40 : 323,829.60 = 202,753.60 : x
  2. Step 2: Convert to fraction form
    215,886.40/323,829.60 = 202,753.60/x
  3. Step 3: Cross multiply
    215,886.40x = 323,829.60 × 202,753.60
  4. Step 4: Simplify right side
    215,886.40x = 65,657,617,186.56
  5. Step 5: Solve for x
    x = 65,657,617,186.56/215,886.40
  6. Step 6: Final answer
    x = 304,130.40

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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.