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Finding the Fourth Proportional to 255,895.72, 353,021.90 and 148,403.46

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Solution

The fourth proportional to 255,895.72, 353,021.90 and 148,403.46 is: 204,730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,895.72 : 353,021.90 = 148,403.46 : x
  2. Step 2: Convert to fraction form
    255,895.72/353,021.90 = 148,403.46/x
  3. Step 3: Cross multiply
    255,895.72x = 353,021.90 × 148,403.46
  4. Step 4: Simplify right side
    255,895.72x = 52,389,671,415.77
  5. Step 5: Solve for x
    x = 52,389,671,415.77/255,895.72
  6. Step 6: Final answer
    x = 204,730.55

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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.