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Finding the Fourth Proportional to 122,666.76, 183,105 and 105,248.52

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Solution

The fourth proportional to 122,666.76, 183,105 and 105,248.52 is: 157,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,666.76 : 183,105 = 105,248.52 : x
  2. Step 2: Convert to fraction form
    122,666.76/183,105 = 105,248.52/x
  3. Step 3: Cross multiply
    122,666.76x = 183,105 × 105,248.52
  4. Step 4: Simplify right side
    122,666.76x = 19,271,530,254.60
  5. Step 5: Solve for x
    x = 19,271,530,254.60/122,666.76
  6. Step 6: Final answer
    x = 157,104.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.