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Finding the Fourth Proportional to 177,312.70, 265,969.05 and 102,663.10

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Solution

The fourth proportional to 177,312.70, 265,969.05 and 102,663.10 is: 153,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,312.70 : 265,969.05 = 102,663.10 : x
  2. Step 2: Convert to fraction form
    177,312.70/265,969.05 = 102,663.10/x
  3. Step 3: Cross multiply
    177,312.70x = 265,969.05 × 102,663.10
  4. Step 4: Simplify right side
    177,312.70x = 27,305,207,177.06
  5. Step 5: Solve for x
    x = 27,305,207,177.06/177,312.70
  6. Step 6: Final answer
    x = 153,994.65

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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.