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Finding the Fourth Proportional to 173,153.30, 259,742.10 and 98,309.30

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Solution

The fourth proportional to 173,153.30, 259,742.10 and 98,309.30 is: 147,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,153.30 : 259,742.10 = 98,309.30 : x
  2. Step 2: Convert to fraction form
    173,153.30/259,742.10 = 98,309.30/x
  3. Step 3: Cross multiply
    173,153.30x = 259,742.10 × 98,309.30
  4. Step 4: Simplify right side
    173,153.30x = 25,535,064,031.53
  5. Step 5: Solve for x
    x = 25,535,064,031.53/173,153.30
  6. Step 6: Final answer
    x = 147,470.85

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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.