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Finding the Fourth Proportional to 101,958.20, 152,937.30 and 97,875.80

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Solution

The fourth proportional to 101,958.20, 152,937.30 and 97,875.80 is: 146,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958.20 : 152,937.30 = 97,875.80 : x
  2. Step 2: Convert to fraction form
    101,958.20/152,937.30 = 97,875.80/x
  3. Step 3: Cross multiply
    101,958.20x = 152,937.30 × 97,875.80
  4. Step 4: Simplify right side
    101,958.20x = 14,968,860,587.34
  5. Step 5: Solve for x
    x = 14,968,860,587.34/101,958.20
  6. Step 6: Final answer
    x = 146,813.70

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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.