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Finding the Fourth Proportional to 233,229, 349,844.31 and 64,762.50

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Solution

The fourth proportional to 233,229, 349,844.31 and 64,762.50 is: 97,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,229 : 349,844.31 = 64,762.50 : x
  2. Step 2: Convert to fraction form
    233,229/349,844.31 = 64,762.50/x
  3. Step 3: Cross multiply
    233,229x = 349,844.31 × 64,762.50
  4. Step 4: Simplify right side
    233,229x = 22,656,792,126.38
  5. Step 5: Solve for x
    x = 22,656,792,126.38/233,229
  6. Step 6: Final answer
    x = 97,143.97

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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.