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Finding the Fourth Proportional to 161,706.35, 242,263.95 and 117,222.77

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Solution

The fourth proportional to 161,706.35, 242,263.95 and 117,222.77 is: 175,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,706.35 : 242,263.95 = 117,222.77 : x
  2. Step 2: Convert to fraction form
    161,706.35/242,263.95 = 117,222.77/x
  3. Step 3: Cross multiply
    161,706.35x = 242,263.95 × 117,222.77
  4. Step 4: Simplify right side
    161,706.35x = 28,398,850,078.82
  5. Step 5: Solve for x
    x = 28,398,850,078.82/161,706.35
  6. Step 6: Final answer
    x = 175,619.89

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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.