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Finding the Fourth Proportional to 110,173, 152,038.74 and 59,872

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Solution

The fourth proportional to 110,173, 152,038.74 and 59,872 is: 82,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,173 : 152,038.74 = 59,872 : x
  2. Step 2: Convert to fraction form
    110,173/152,038.74 = 59,872/x
  3. Step 3: Cross multiply
    110,173x = 152,038.74 × 59,872
  4. Step 4: Simplify right side
    110,173x = 9,102,863,441.28
  5. Step 5: Solve for x
    x = 9,102,863,441.28/110,173
  6. Step 6: Final answer
    x = 82,623.36

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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.