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Finding the Fourth Proportional to 177,898.85, 245,511.29 and 102,471.65

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Solution

The fourth proportional to 177,898.85, 245,511.29 and 102,471.65 is: 141,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,898.85 : 245,511.29 = 102,471.65 : x
  2. Step 2: Convert to fraction form
    177,898.85/245,511.29 = 102,471.65/x
  3. Step 3: Cross multiply
    177,898.85x = 245,511.29 × 102,471.65
  4. Step 4: Simplify right side
    177,898.85x = 25,157,946,008.55
  5. Step 5: Solve for x
    x = 25,157,946,008.55/177,898.85
  6. Step 6: Final answer
    x = 141,417.14

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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.