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Finding the Fourth Proportional to 255,677.94, 352,847.64 and 142,501.50

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Solution

The fourth proportional to 255,677.94, 352,847.64 and 142,501.50 is: 196,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,677.94 : 352,847.64 = 142,501.50 : x
  2. Step 2: Convert to fraction form
    255,677.94/352,847.64 = 142,501.50/x
  3. Step 3: Cross multiply
    255,677.94x = 352,847.64 × 142,501.50
  4. Step 4: Simplify right side
    255,677.94x = 50,281,317,971.46
  5. Step 5: Solve for x
    x = 50,281,317,971.46/255,677.94
  6. Step 6: Final answer
    x = 196,658.80

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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.