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Finding the Fourth Proportional to 153,837.60, 230,732.40 and 48,682.40

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Solution

The fourth proportional to 153,837.60, 230,732.40 and 48,682.40 is: 73,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,837.60 : 230,732.40 = 48,682.40 : x
  2. Step 2: Convert to fraction form
    153,837.60/230,732.40 = 48,682.40/x
  3. Step 3: Cross multiply
    153,837.60x = 230,732.40 × 48,682.40
  4. Step 4: Simplify right side
    153,837.60x = 11,232,606,989.76
  5. Step 5: Solve for x
    x = 11,232,606,989.76/153,837.60
  6. Step 6: Final answer
    x = 73,016.01

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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.