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Finding the Fourth Proportional to 145,145.95, 217,732.67 and 56,406.30

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Solution

The fourth proportional to 145,145.95, 217,732.67 and 56,406.30 is: 84,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,145.95 : 217,732.67 = 56,406.30 : x
  2. Step 2: Convert to fraction form
    145,145.95/217,732.67 = 56,406.30/x
  3. Step 3: Cross multiply
    145,145.95x = 217,732.67 × 56,406.30
  4. Step 4: Simplify right side
    145,145.95x = 12,281,494,303.82
  5. Step 5: Solve for x
    x = 12,281,494,303.82/145,145.95
  6. Step 6: Final answer
    x = 84,614.79

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