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Finding the Fourth Proportional to 177,751.84, 245,273.76 and 114,175.84

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Solution

The fourth proportional to 177,751.84, 245,273.76 and 114,175.84 is: 157,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,751.84 : 245,273.76 = 114,175.84 : x
  2. Step 2: Convert to fraction form
    177,751.84/245,273.76 = 114,175.84/x
  3. Step 3: Cross multiply
    177,751.84x = 245,273.76 × 114,175.84
  4. Step 4: Simplify right side
    177,751.84x = 28,004,337,577.96
  5. Step 5: Solve for x
    x = 28,004,337,577.96/177,751.84
  6. Step 6: Final answer
    x = 157,547.39

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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.