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Finding the Fourth Proportional to 135,021.60, 202,370.40 and 56,095.20

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Solution

The fourth proportional to 135,021.60, 202,370.40 and 56,095.20 is: 84,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,021.60 : 202,370.40 = 56,095.20 : x
  2. Step 2: Convert to fraction form
    135,021.60/202,370.40 = 56,095.20/x
  3. Step 3: Cross multiply
    135,021.60x = 202,370.40 × 56,095.20
  4. Step 4: Simplify right side
    135,021.60x = 11,352,008,062.08
  5. Step 5: Solve for x
    x = 11,352,008,062.08/135,021.60
  6. Step 6: Final answer
    x = 84,075.50

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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.