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Finding the Fourth Proportional to 132,592.24, 183,045 and 102,309.52

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Solution

The fourth proportional to 132,592.24, 183,045 and 102,309.52 is: 141,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,592.24 : 183,045 = 102,309.52 : x
  2. Step 2: Convert to fraction form
    132,592.24/183,045 = 102,309.52/x
  3. Step 3: Cross multiply
    132,592.24x = 183,045 × 102,309.52
  4. Step 4: Simplify right side
    132,592.24x = 18,727,246,088.40
  5. Step 5: Solve for x
    x = 18,727,246,088.40/132,592.24
  6. Step 6: Final answer
    x = 141,239.38

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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.