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Finding the Fourth Proportional to 173,338, 260,007 and 42,010

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Solution

The fourth proportional to 173,338, 260,007 and 42,010 is: 63,015

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,338 : 260,007 = 42,010 : x
  2. Step 2: Convert to fraction form
    173,338/260,007 = 42,010/x
  3. Step 3: Cross multiply
    173,338x = 260,007 × 42,010
  4. Step 4: Simplify right side
    173,338x = 10,922,894,070
  5. Step 5: Solve for x
    x = 10,922,894,070/173,338
  6. Step 6: Final answer
    x = 63,015

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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.