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Finding the Fourth Proportional to 119,175.84, 178,718.33 and 34,918.02

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Solution

The fourth proportional to 119,175.84, 178,718.33 and 34,918.02 is: 52,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,175.84 : 178,718.33 = 34,918.02 : x
  2. Step 2: Convert to fraction form
    119,175.84/178,718.33 = 34,918.02/x
  3. Step 3: Cross multiply
    119,175.84x = 178,718.33 × 34,918.02
  4. Step 4: Simplify right side
    119,175.84x = 6,240,490,046.72
  5. Step 5: Solve for x
    x = 6,240,490,046.72/119,175.84
  6. Step 6: Final answer
    x = 52,363.72

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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.