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Finding the Fourth Proportional to 255,142.98, 352,051.92 and 147,707.82

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Solution

The fourth proportional to 255,142.98, 352,051.92 and 147,707.82 is: 203,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,142.98 : 352,051.92 = 147,707.82 : x
  2. Step 2: Convert to fraction form
    255,142.98/352,051.92 = 147,707.82/x
  3. Step 3: Cross multiply
    255,142.98x = 352,051.92 × 147,707.82
  4. Step 4: Simplify right side
    255,142.98x = 52,000,821,630.01
  5. Step 5: Solve for x
    x = 52,000,821,630.01/255,142.98
  6. Step 6: Final answer
    x = 203,810.51

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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.