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Finding the Fourth Proportional to 98,953.83, 148,080.38 and 61,531.53

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Solution

The fourth proportional to 98,953.83, 148,080.38 and 61,531.53 is: 92,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,953.83 : 148,080.38 = 61,531.53 : x
  2. Step 2: Convert to fraction form
    98,953.83/148,080.38 = 61,531.53/x
  3. Step 3: Cross multiply
    98,953.83x = 148,080.38 × 61,531.53
  4. Step 4: Simplify right side
    98,953.83x = 9,111,612,036.72
  5. Step 5: Solve for x
    x = 9,111,612,036.72/98,953.83
  6. Step 6: Final answer
    x = 92,079.42

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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.