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Finding the Fourth Proportional to 142,876.46, 214,298.28 and 37,703.63

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Solution

The fourth proportional to 142,876.46, 214,298.28 and 37,703.63 is: 56,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,876.46 : 214,298.28 = 37,703.63 : x
  2. Step 2: Convert to fraction form
    142,876.46/214,298.28 = 37,703.63/x
  3. Step 3: Cross multiply
    142,876.46x = 214,298.28 × 37,703.63
  4. Step 4: Simplify right side
    142,876.46x = 8,079,823,594.50
  5. Step 5: Solve for x
    x = 8,079,823,594.50/142,876.46
  6. Step 6: Final answer
    x = 56,551.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.