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Finding the Fourth Proportional to 233,246.76, 349,832.64 and 83,459.16

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Solution

The fourth proportional to 233,246.76, 349,832.64 and 83,459.16 is: 125,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,246.76 : 349,832.64 = 83,459.16 : x
  2. Step 2: Convert to fraction form
    233,246.76/349,832.64 = 83,459.16/x
  3. Step 3: Cross multiply
    233,246.76x = 349,832.64 × 83,459.16
  4. Step 4: Simplify right side
    233,246.76x = 29,196,738,274.98
  5. Step 5: Solve for x
    x = 29,196,738,274.98/233,246.76
  6. Step 6: Final answer
    x = 125,175.32

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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.