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Finding the Fourth Proportional to 230,618.84, 346,028.16 and 123,878.26

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Solution

The fourth proportional to 230,618.84, 346,028.16 and 123,878.26 is: 185,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,618.84 : 346,028.16 = 123,878.26 : x
  2. Step 2: Convert to fraction form
    230,618.84/346,028.16 = 123,878.26/x
  3. Step 3: Cross multiply
    230,618.84x = 346,028.16 × 123,878.26
  4. Step 4: Simplify right side
    230,618.84x = 42,865,365,322.47
  5. Step 5: Solve for x
    x = 42,865,365,322.47/230,618.84
  6. Step 6: Final answer
    x = 185,871.05

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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.