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Finding the Fourth Proportional to 178,095.74, 245,769.80 and 101,612.84

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Solution

The fourth proportional to 178,095.74, 245,769.80 and 101,612.84 is: 140,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,095.74 : 245,769.80 = 101,612.84 : x
  2. Step 2: Convert to fraction form
    178,095.74/245,769.80 = 101,612.84/x
  3. Step 3: Cross multiply
    178,095.74x = 245,769.80 × 101,612.84
  4. Step 4: Simplify right side
    178,095.74x = 24,973,367,364.23
  5. Step 5: Solve for x
    x = 24,973,367,364.23/178,095.74
  6. Step 6: Final answer
    x = 140,224.39

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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.