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Finding the Fourth Proportional to 231,007.68, 346,304.16 and 83,160

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Solution

The fourth proportional to 231,007.68, 346,304.16 and 83,160 is: 124,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,007.68 : 346,304.16 = 83,160 : x
  2. Step 2: Convert to fraction form
    231,007.68/346,304.16 = 83,160/x
  3. Step 3: Cross multiply
    231,007.68x = 346,304.16 × 83,160
  4. Step 4: Simplify right side
    231,007.68x = 28,798,653,945.60
  5. Step 5: Solve for x
    x = 28,798,653,945.60/231,007.68
  6. Step 6: Final answer
    x = 124,665.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.