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Finding the Fourth Proportional to 255,618.48, 352,712 and 148,167.52

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Solution

The fourth proportional to 255,618.48, 352,712 and 148,167.52 is: 204,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,618.48 : 352,712 = 148,167.52 : x
  2. Step 2: Convert to fraction form
    255,618.48/352,712 = 148,167.52/x
  3. Step 3: Cross multiply
    255,618.48x = 352,712 × 148,167.52
  4. Step 4: Simplify right side
    255,618.48x = 52,260,462,314.24
  5. Step 5: Solve for x
    x = 52,260,462,314.24/255,618.48
  6. Step 6: Final answer
    x = 204,447.12

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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.