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Finding the Fourth Proportional to 255,564.64, 352,681.62 and 140,847.42

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Solution

The fourth proportional to 255,564.64, 352,681.62 and 140,847.42 is: 194,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,564.64 : 352,681.62 = 140,847.42 : x
  2. Step 2: Convert to fraction form
    255,564.64/352,681.62 = 140,847.42/x
  3. Step 3: Cross multiply
    255,564.64x = 352,681.62 × 140,847.42
  4. Step 4: Simplify right side
    255,564.64x = 49,674,296,060.88
  5. Step 5: Solve for x
    x = 49,674,296,060.88/255,564.64
  6. Step 6: Final answer
    x = 194,370.77

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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.