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Finding the Fourth Proportional to 255,731.34, 352,902.47 and 141,008.04

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Solution

The fourth proportional to 255,731.34, 352,902.47 and 141,008.04 is: 194,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,731.34 : 352,902.47 = 141,008.04 : x
  2. Step 2: Convert to fraction form
    255,731.34/352,902.47 = 141,008.04/x
  3. Step 3: Cross multiply
    255,731.34x = 352,902.47 × 141,008.04
  4. Step 4: Simplify right side
    255,731.34x = 49,762,084,900.82
  5. Step 5: Solve for x
    x = 49,762,084,900.82/255,731.34
  6. Step 6: Final answer
    x = 194,587.35

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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.