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Finding the Fourth Proportional to 174,686.74, 262,030.16 and 54,753

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Solution

The fourth proportional to 174,686.74, 262,030.16 and 54,753 is: 82,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,686.74 : 262,030.16 = 54,753 : x
  2. Step 2: Convert to fraction form
    174,686.74/262,030.16 = 54,753/x
  3. Step 3: Cross multiply
    174,686.74x = 262,030.16 × 54,753
  4. Step 4: Simplify right side
    174,686.74x = 14,346,937,350.48
  5. Step 5: Solve for x
    x = 14,346,937,350.48/174,686.74
  6. Step 6: Final answer
    x = 82,129.52

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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.