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Finding the Fourth Proportional to 153,358.52, 230,074.12 and 48,177.48

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Solution

The fourth proportional to 153,358.52, 230,074.12 and 48,177.48 is: 72,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,358.52 : 230,074.12 = 48,177.48 : x
  2. Step 2: Convert to fraction form
    153,358.52/230,074.12 = 48,177.48/x
  3. Step 3: Cross multiply
    153,358.52x = 230,074.12 × 48,177.48
  4. Step 4: Simplify right side
    153,358.52x = 11,084,392,237.82
  5. Step 5: Solve for x
    x = 11,084,392,237.82/153,358.52
  6. Step 6: Final answer
    x = 72,277.64

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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.