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Finding the Fourth Proportional to 146,904, 220,390.56 and 48,408

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Solution

The fourth proportional to 146,904, 220,390.56 and 48,408 is: 72,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,904 : 220,390.56 = 48,408 : x
  2. Step 2: Convert to fraction form
    146,904/220,390.56 = 48,408/x
  3. Step 3: Cross multiply
    146,904x = 220,390.56 × 48,408
  4. Step 4: Simplify right side
    146,904x = 10,668,666,228.48
  5. Step 5: Solve for x
    x = 10,668,666,228.48/146,904
  6. Step 6: Final answer
    x = 72,623.39

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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.