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Finding the Fourth Proportional to 230,283, 317,792.59 and 134,791.75

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Solution

The fourth proportional to 230,283, 317,792.59 and 134,791.75 is: 186,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,283 : 317,792.59 = 134,791.75 : x
  2. Step 2: Convert to fraction form
    230,283/317,792.59 = 134,791.75/x
  3. Step 3: Cross multiply
    230,283x = 317,792.59 × 134,791.75
  4. Step 4: Simplify right side
    230,283x = 42,835,817,994.91
  5. Step 5: Solve for x
    x = 42,835,817,994.91/230,283
  6. Step 6: Final answer
    x = 186,013.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.