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Finding the Fourth Proportional to 376,465.48, 564,782.46 and 127,141

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Solution

The fourth proportional to 376,465.48, 564,782.46 and 127,141 is: 190,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,465.48 : 564,782.46 = 127,141 : x
  2. Step 2: Convert to fraction form
    376,465.48/564,782.46 = 127,141/x
  3. Step 3: Cross multiply
    376,465.48x = 564,782.46 × 127,141
  4. Step 4: Simplify right side
    376,465.48x = 71,807,006,746.86
  5. Step 5: Solve for x
    x = 71,807,006,746.86/376,465.48
  6. Step 6: Final answer
    x = 190,739.95

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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.