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Finding the Fourth Proportional to 251,133.92, 346,565.04 and 137,964

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Solution

The fourth proportional to 251,133.92, 346,565.04 and 137,964 is: 190,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,133.92 : 346,565.04 = 137,964 : x
  2. Step 2: Convert to fraction form
    251,133.92/346,565.04 = 137,964/x
  3. Step 3: Cross multiply
    251,133.92x = 346,565.04 × 137,964
  4. Step 4: Simplify right side
    251,133.92x = 47,813,499,178.56
  5. Step 5: Solve for x
    x = 47,813,499,178.56/251,133.92
  6. Step 6: Final answer
    x = 190,390.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.