Home / 209,829.84-314,837.80-109,966.32

Finding the Fourth Proportional to 209,829.84, 314,837.80 and 109,966.32

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Solution

The fourth proportional to 209,829.84, 314,837.80 and 109,966.32 is: 164,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,829.84 : 314,837.80 = 109,966.32 : x
  2. Step 2: Convert to fraction form
    209,829.84/314,837.80 = 109,966.32/x
  3. Step 3: Cross multiply
    209,829.84x = 314,837.80 × 109,966.32
  4. Step 4: Simplify right side
    209,829.84x = 34,621,554,262.90
  5. Step 5: Solve for x
    x = 34,621,554,262.90/209,829.84
  6. Step 6: Final answer
    x = 164,998.24

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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.