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Finding the Fourth Proportional to 153,208.40, 229,834.20 and 48,016.40

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Solution

The fourth proportional to 153,208.40, 229,834.20 and 48,016.40 is: 72,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,208.40 : 229,834.20 = 48,016.40 : x
  2. Step 2: Convert to fraction form
    153,208.40/229,834.20 = 48,016.40/x
  3. Step 3: Cross multiply
    153,208.40x = 229,834.20 × 48,016.40
  4. Step 4: Simplify right side
    153,208.40x = 11,035,810,880.88
  5. Step 5: Solve for x
    x = 11,035,810,880.88/153,208.40
  6. Step 6: Final answer
    x = 72,031.37

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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.