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Finding the Fourth Proportional to 98,065.84, 147,068.52 and 51,293.20

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Solution

The fourth proportional to 98,065.84, 147,068.52 and 51,293.20 is: 76,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,065.84 : 147,068.52 = 51,293.20 : x
  2. Step 2: Convert to fraction form
    98,065.84/147,068.52 = 51,293.20/x
  3. Step 3: Cross multiply
    98,065.84x = 147,068.52 × 51,293.20
  4. Step 4: Simplify right side
    98,065.84x = 7,543,615,010.06
  5. Step 5: Solve for x
    x = 7,543,615,010.06/98,065.84
  6. Step 6: Final answer
    x = 76,923.98

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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.