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Finding the Fourth Proportional to 229,474.46, 316,720.31 and 146,635.49

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Solution

The fourth proportional to 229,474.46, 316,720.31 and 146,635.49 is: 202,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,474.46 : 316,720.31 = 146,635.49 : x
  2. Step 2: Convert to fraction form
    229,474.46/316,720.31 = 146,635.49/x
  3. Step 3: Cross multiply
    229,474.46x = 316,720.31 × 146,635.49
  4. Step 4: Simplify right side
    229,474.46x = 46,442,435,533.02
  5. Step 5: Solve for x
    x = 46,442,435,533.02/229,474.46
  6. Step 6: Final answer
    x = 202,386.08

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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.