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Finding the Fourth Proportional to 151,500.52, 209,077.86 and 84,433

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Solution

The fourth proportional to 151,500.52, 209,077.86 and 84,433 is: 116,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,500.52 : 209,077.86 = 84,433 : x
  2. Step 2: Convert to fraction form
    151,500.52/209,077.86 = 84,433/x
  3. Step 3: Cross multiply
    151,500.52x = 209,077.86 × 84,433
  4. Step 4: Simplify right side
    151,500.52x = 17,653,070,953.38
  5. Step 5: Solve for x
    x = 17,653,070,953.38/151,500.52
  6. Step 6: Final answer
    x = 116,521.52

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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.