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Finding the Fourth Proportional to 210,464.40, 315,427.80 and 85,664.40

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Solution

The fourth proportional to 210,464.40, 315,427.80 and 85,664.40 is: 128,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,464.40 : 315,427.80 = 85,664.40 : x
  2. Step 2: Convert to fraction form
    210,464.40/315,427.80 = 85,664.40/x
  3. Step 3: Cross multiply
    210,464.40x = 315,427.80 × 85,664.40
  4. Step 4: Simplify right side
    210,464.40x = 27,020,933,230.32
  5. Step 5: Solve for x
    x = 27,020,933,230.32/210,464.40
  6. Step 6: Final answer
    x = 128,387.19

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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.