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Finding the Fourth Proportional to 255,564.90, 352,681.97 and 140,847.68

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Solution

The fourth proportional to 255,564.90, 352,681.97 and 140,847.68 is: 194,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,564.90 : 352,681.97 = 140,847.68 : x
  2. Step 2: Convert to fraction form
    255,564.90/352,681.97 = 140,847.68/x
  3. Step 3: Cross multiply
    255,564.90x = 352,681.97 × 140,847.68
  4. Step 4: Simplify right side
    255,564.90x = 49,674,436,899.51
  5. Step 5: Solve for x
    x = 49,674,436,899.51/255,564.90
  6. Step 6: Final answer
    x = 194,371.12

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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.