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Finding the Fourth Proportional to 255,314.74, 352,216.08 and 164,699.90

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Solution

The fourth proportional to 255,314.74, 352,216.08 and 164,699.90 is: 227,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,314.74 : 352,216.08 = 164,699.90 : x
  2. Step 2: Convert to fraction form
    255,314.74/352,216.08 = 164,699.90/x
  3. Step 3: Cross multiply
    255,314.74x = 352,216.08 × 164,699.90
  4. Step 4: Simplify right side
    255,314.74x = 58,009,953,154.39
  5. Step 5: Solve for x
    x = 58,009,953,154.39/255,314.74
  6. Step 6: Final answer
    x = 227,209.57

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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.