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Finding the Fourth Proportional to 242,759.50, 364,139.25 and 76,547.50

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Solution

The fourth proportional to 242,759.50, 364,139.25 and 76,547.50 is: 114,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,759.50 : 364,139.25 = 76,547.50 : x
  2. Step 2: Convert to fraction form
    242,759.50/364,139.25 = 76,547.50/x
  3. Step 3: Cross multiply
    242,759.50x = 364,139.25 × 76,547.50
  4. Step 4: Simplify right side
    242,759.50x = 27,873,949,239.38
  5. Step 5: Solve for x
    x = 27,873,949,239.38/242,759.50
  6. Step 6: Final answer
    x = 114,821.25

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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.