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Finding the Fourth Proportional to 136,242, 204,374.52 and 37,746

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Solution

The fourth proportional to 136,242, 204,374.52 and 37,746 is: 56,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,242 : 204,374.52 = 37,746 : x
  2. Step 2: Convert to fraction form
    136,242/204,374.52 = 37,746/x
  3. Step 3: Cross multiply
    136,242x = 204,374.52 × 37,746
  4. Step 4: Simplify right side
    136,242x = 7,714,320,631.92
  5. Step 5: Solve for x
    x = 7,714,320,631.92/136,242
  6. Step 6: Final answer
    x = 56,622.19

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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.