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Finding the Fourth Proportional to 355,166.50, 532,842.10 and 105,848.50

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Solution

The fourth proportional to 355,166.50, 532,842.10 and 105,848.50 is: 158,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,166.50 : 532,842.10 = 105,848.50 : x
  2. Step 2: Convert to fraction form
    355,166.50/532,842.10 = 105,848.50/x
  3. Step 3: Cross multiply
    355,166.50x = 532,842.10 × 105,848.50
  4. Step 4: Simplify right side
    355,166.50x = 56,400,537,021.85
  5. Step 5: Solve for x
    x = 56,400,537,021.85/355,166.50
  6. Step 6: Final answer
    x = 158,800.27

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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.