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Finding the Fourth Proportional to 255,291.95, 352,289.05 and 140,548.16

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Solution

The fourth proportional to 255,291.95, 352,289.05 and 140,548.16 is: 193,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,291.95 : 352,289.05 = 140,548.16 : x
  2. Step 2: Convert to fraction form
    255,291.95/352,289.05 = 140,548.16/x
  3. Step 3: Cross multiply
    255,291.95x = 352,289.05 × 140,548.16
  4. Step 4: Simplify right side
    255,291.95x = 49,513,578,295.00
  5. Step 5: Solve for x
    x = 49,513,578,295.00/255,291.95
  6. Step 6: Final answer
    x = 193,948.84

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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.