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Finding the Fourth Proportional to 233,290.32, 349,849.44 and 83,490

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Solution

The fourth proportional to 233,290.32, 349,849.44 and 83,490 is: 125,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,290.32 : 349,849.44 = 83,490 : x
  2. Step 2: Convert to fraction form
    233,290.32/349,849.44 = 83,490/x
  3. Step 3: Cross multiply
    233,290.32x = 349,849.44 × 83,490
  4. Step 4: Simplify right side
    233,290.32x = 29,208,929,745.60
  5. Step 5: Solve for x
    x = 29,208,929,745.60/233,290.32
  6. Step 6: Final answer
    x = 125,204.21

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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.