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Finding the Fourth Proportional to 153,602, 230,416.20 and 42,794

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Solution

The fourth proportional to 153,602, 230,416.20 and 42,794 is: 64,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,602 : 230,416.20 = 42,794 : x
  2. Step 2: Convert to fraction form
    153,602/230,416.20 = 42,794/x
  3. Step 3: Cross multiply
    153,602x = 230,416.20 × 42,794
  4. Step 4: Simplify right side
    153,602x = 9,860,430,862.80
  5. Step 5: Solve for x
    x = 9,860,430,862.80/153,602
  6. Step 6: Final answer
    x = 64,194.68

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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.