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Finding the Fourth Proportional to 162,100.80, 242,978.40 and 62,222.40

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Solution

The fourth proportional to 162,100.80, 242,978.40 and 62,222.40 is: 93,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,100.80 : 242,978.40 = 62,222.40 : x
  2. Step 2: Convert to fraction form
    162,100.80/242,978.40 = 62,222.40/x
  3. Step 3: Cross multiply
    162,100.80x = 242,978.40 × 62,222.40
  4. Step 4: Simplify right side
    162,100.80x = 15,118,699,196.16
  5. Step 5: Solve for x
    x = 15,118,699,196.16/162,100.80
  6. Step 6: Final answer
    x = 93,267.27

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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.