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Finding the Fourth Proportional to 122,929.80, 184,265.10 and 70,225.80

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Solution

The fourth proportional to 122,929.80, 184,265.10 and 70,225.80 is: 105,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,929.80 : 184,265.10 = 70,225.80 : x
  2. Step 2: Convert to fraction form
    122,929.80/184,265.10 = 70,225.80/x
  3. Step 3: Cross multiply
    122,929.80x = 184,265.10 × 70,225.80
  4. Step 4: Simplify right side
    122,929.80x = 12,940,164,059.58
  5. Step 5: Solve for x
    x = 12,940,164,059.58/122,929.80
  6. Step 6: Final answer
    x = 105,264.66

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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.