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Finding the Fourth Proportional to 145,317.80, 217,814.70 and 56,541.80

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Solution

The fourth proportional to 145,317.80, 217,814.70 and 56,541.80 is: 84,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,317.80 : 217,814.70 = 56,541.80 : x
  2. Step 2: Convert to fraction form
    145,317.80/217,814.70 = 56,541.80/x
  3. Step 3: Cross multiply
    145,317.80x = 217,814.70 × 56,541.80
  4. Step 4: Simplify right side
    145,317.80x = 12,315,635,204.46
  5. Step 5: Solve for x
    x = 12,315,635,204.46/145,317.80
  6. Step 6: Final answer
    x = 84,749.67

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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.