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Finding the Fourth Proportional to 209,872.16, 314,900.98 and 110,008.47

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Solution

The fourth proportional to 209,872.16, 314,900.98 and 110,008.47 is: 165,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,872.16 : 314,900.98 = 110,008.47 : x
  2. Step 2: Convert to fraction form
    209,872.16/314,900.98 = 110,008.47/x
  3. Step 3: Cross multiply
    209,872.16x = 314,900.98 × 110,008.47
  4. Step 4: Simplify right side
    209,872.16x = 34,641,774,736.28
  5. Step 5: Solve for x
    x = 34,641,774,736.28/209,872.16
  6. Step 6: Final answer
    x = 165,061.32

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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.