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Finding the Fourth Proportional to 122,592.40, 183,970.68 and 52,488.88

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Solution

The fourth proportional to 122,592.40, 183,970.68 and 52,488.88 is: 78,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,592.40 : 183,970.68 = 52,488.88 : x
  2. Step 2: Convert to fraction form
    122,592.40/183,970.68 = 52,488.88/x
  3. Step 3: Cross multiply
    122,592.40x = 183,970.68 × 52,488.88
  4. Step 4: Simplify right side
    122,592.40x = 9,656,414,946.04
  5. Step 5: Solve for x
    x = 9,656,414,946.04/122,592.40
  6. Step 6: Final answer
    x = 78,768.46

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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.