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Finding the Fourth Proportional to 242,759.69, 364,139.53 and 76,547.69

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Solution

The fourth proportional to 242,759.69, 364,139.53 and 76,547.69 is: 114,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,759.69 : 364,139.53 = 76,547.69 : x
  2. Step 2: Convert to fraction form
    242,759.69/364,139.53 = 76,547.69/x
  3. Step 3: Cross multiply
    242,759.69x = 364,139.53 × 76,547.69
  4. Step 4: Simplify right side
    242,759.69x = 27,874,039,859.19
  5. Step 5: Solve for x
    x = 27,874,039,859.19/242,759.69
  6. Step 6: Final answer
    x = 114,821.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.