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Finding the Fourth Proportional to 178,041, 245,696.58 and 98,553

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Solution

The fourth proportional to 178,041, 245,696.58 and 98,553 is: 136,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,041 : 245,696.58 = 98,553 : x
  2. Step 2: Convert to fraction form
    178,041/245,696.58 = 98,553/x
  3. Step 3: Cross multiply
    178,041x = 245,696.58 × 98,553
  4. Step 4: Simplify right side
    178,041x = 24,214,135,048.74
  5. Step 5: Solve for x
    x = 24,214,135,048.74/178,041
  6. Step 6: Final answer
    x = 136,003.14

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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.