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Finding the Fourth Proportional to 177,597.48, 245,085.06 and 102,141

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Solution

The fourth proportional to 177,597.48, 245,085.06 and 102,141 is: 140,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,597.48 : 245,085.06 = 102,141 : x
  2. Step 2: Convert to fraction form
    177,597.48/245,085.06 = 102,141/x
  3. Step 3: Cross multiply
    177,597.48x = 245,085.06 × 102,141
  4. Step 4: Simplify right side
    177,597.48x = 25,033,233,113.46
  5. Step 5: Solve for x
    x = 25,033,233,113.46/177,597.48
  6. Step 6: Final answer
    x = 140,954.89

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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.