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Finding the Fourth Proportional to 98,095.88, 147,121.90 and 45,498.53

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Solution

The fourth proportional to 98,095.88, 147,121.90 and 45,498.53 is: 68,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,095.88 : 147,121.90 = 45,498.53 : x
  2. Step 2: Convert to fraction form
    98,095.88/147,121.90 = 45,498.53/x
  3. Step 3: Cross multiply
    98,095.88x = 147,121.90 × 45,498.53
  4. Step 4: Simplify right side
    98,095.88x = 6,693,830,180.81
  5. Step 5: Solve for x
    x = 6,693,830,180.81/98,095.88
  6. Step 6: Final answer
    x = 68,237.63

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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.