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Finding the Fourth Proportional to 247,681.64, 341,905.30 and 167,218.16

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Solution

The fourth proportional to 247,681.64, 341,905.30 and 167,218.16 is: 230,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,681.64 : 341,905.30 = 167,218.16 : x
  2. Step 2: Convert to fraction form
    247,681.64/341,905.30 = 167,218.16/x
  3. Step 3: Cross multiply
    247,681.64x = 341,905.30 × 167,218.16
  4. Step 4: Simplify right side
    247,681.64x = 57,172,773,032.68
  5. Step 5: Solve for x
    x = 57,172,773,032.68/247,681.64
  6. Step 6: Final answer
    x = 230,831.69

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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.