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Finding the Fourth Proportional to 98,742.40, 148,016.40 and 48,830.20

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Solution

The fourth proportional to 98,742.40, 148,016.40 and 48,830.20 is: 73,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,742.40 : 148,016.40 = 48,830.20 : x
  2. Step 2: Convert to fraction form
    98,742.40/148,016.40 = 48,830.20/x
  3. Step 3: Cross multiply
    98,742.40x = 148,016.40 × 48,830.20
  4. Step 4: Simplify right side
    98,742.40x = 7,227,670,415.28
  5. Step 5: Solve for x
    x = 7,227,670,415.28/98,742.40
  6. Step 6: Final answer
    x = 73,197.23

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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.