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Finding the Fourth Proportional to 224,658, 310,028.31 and 124,056

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Solution

The fourth proportional to 224,658, 310,028.31 and 124,056 is: 171,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,658 : 310,028.31 = 124,056 : x
  2. Step 2: Convert to fraction form
    224,658/310,028.31 = 124,056/x
  3. Step 3: Cross multiply
    224,658x = 310,028.31 × 124,056
  4. Step 4: Simplify right side
    224,658x = 38,460,872,025.36
  5. Step 5: Solve for x
    x = 38,460,872,025.36/224,658
  6. Step 6: Final answer
    x = 171,197.43

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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.