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Finding the Fourth Proportional to 98,374.70, 147,256.59 and 53,284.06

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Solution

The fourth proportional to 98,374.70, 147,256.59 and 53,284.06 is: 79,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,374.70 : 147,256.59 = 53,284.06 : x
  2. Step 2: Convert to fraction form
    98,374.70/147,256.59 = 53,284.06/x
  3. Step 3: Cross multiply
    98,374.70x = 147,256.59 × 53,284.06
  4. Step 4: Simplify right side
    98,374.70x = 7,846,428,976.96
  5. Step 5: Solve for x
    x = 7,846,428,976.96/98,374.70
  6. Step 6: Final answer
    x = 79,760.64

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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.