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Finding the Fourth Proportional to 292,079.82, 437,931.32 and 114,604.76

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Solution

The fourth proportional to 292,079.82, 437,931.32 and 114,604.76 is: 171,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,079.82 : 437,931.32 = 114,604.76 : x
  2. Step 2: Convert to fraction form
    292,079.82/437,931.32 = 114,604.76/x
  3. Step 3: Cross multiply
    292,079.82x = 437,931.32 × 114,604.76
  4. Step 4: Simplify right side
    292,079.82x = 50,189,013,825.08
  5. Step 5: Solve for x
    x = 50,189,013,825.08/292,079.82
  6. Step 6: Final answer
    x = 171,833.21

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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.