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Finding the Fourth Proportional to 98,066.45, 146,959.34 and 55,859.40

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Solution

The fourth proportional to 98,066.45, 146,959.34 and 55,859.40 is: 83,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,066.45 : 146,959.34 = 55,859.40 : x
  2. Step 2: Convert to fraction form
    98,066.45/146,959.34 = 55,859.40/x
  3. Step 3: Cross multiply
    98,066.45x = 146,959.34 × 55,859.40
  4. Step 4: Simplify right side
    98,066.45x = 8,209,060,021.28
  5. Step 5: Solve for x
    x = 8,209,060,021.28/98,066.45
  6. Step 6: Final answer
    x = 83,709.16

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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.