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Finding the Fourth Proportional to 258,004.34, 356,045.73 and 144,827.30

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Solution

The fourth proportional to 258,004.34, 356,045.73 and 144,827.30 is: 199,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,004.34 : 356,045.73 = 144,827.30 : x
  2. Step 2: Convert to fraction form
    258,004.34/356,045.73 = 144,827.30/x
  3. Step 3: Cross multiply
    258,004.34x = 356,045.73 × 144,827.30
  4. Step 4: Simplify right side
    258,004.34x = 51,565,141,752.43
  5. Step 5: Solve for x
    x = 51,565,141,752.43/258,004.34
  6. Step 6: Final answer
    x = 199,861.53

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1.5x scale

Why These Related Problems?

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