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Finding the Fourth Proportional to 125,786, 173,442.96 and 97,040.24

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Solution

The fourth proportional to 125,786, 173,442.96 and 97,040.24 is: 133,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,786 : 173,442.96 = 97,040.24 : x
  2. Step 2: Convert to fraction form
    125,786/173,442.96 = 97,040.24/x
  3. Step 3: Cross multiply
    125,786x = 173,442.96 × 97,040.24
  4. Step 4: Simplify right side
    125,786x = 16,830,946,464.71
  5. Step 5: Solve for x
    x = 16,830,946,464.71/125,786
  6. Step 6: Final answer
    x = 133,806.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.