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Finding the Fourth Proportional to 178,149.42, 245,777.80 and 101,672.77

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Solution

The fourth proportional to 178,149.42, 245,777.80 and 101,672.77 is: 140,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,149.42 : 245,777.80 = 101,672.77 : x
  2. Step 2: Convert to fraction form
    178,149.42/245,777.80 = 101,672.77/x
  3. Step 3: Cross multiply
    178,149.42x = 245,777.80 × 101,672.77
  4. Step 4: Simplify right side
    178,149.42x = 24,988,908,628.71
  5. Step 5: Solve for x
    x = 24,988,908,628.71/178,149.42
  6. Step 6: Final answer
    x = 140,269.38

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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.