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Finding the Fourth Proportional to 145,169.71, 217,768.34 and 56,430.07

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Solution

The fourth proportional to 145,169.71, 217,768.34 and 56,430.07 is: 84,650.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,169.71 : 217,768.34 = 56,430.07 : x
  2. Step 2: Convert to fraction form
    145,169.71/217,768.34 = 56,430.07/x
  3. Step 3: Cross multiply
    145,169.71x = 217,768.34 × 56,430.07
  4. Step 4: Simplify right side
    145,169.71x = 12,288,682,387.83
  5. Step 5: Solve for x
    x = 12,288,682,387.83/145,169.71
  6. Step 6: Final answer
    x = 84,650.46

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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.