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Finding the Fourth Proportional to 233,492.34, 350,284.26 and 83,692.56

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Solution

The fourth proportional to 233,492.34, 350,284.26 and 83,692.56 is: 125,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,492.34 : 350,284.26 = 83,692.56 : x
  2. Step 2: Convert to fraction form
    233,492.34/350,284.26 = 83,692.56/x
  3. Step 3: Cross multiply
    233,492.34x = 350,284.26 × 83,692.56
  4. Step 4: Simplify right side
    233,492.34x = 29,316,186,447.11
  5. Step 5: Solve for x
    x = 29,316,186,447.11/233,492.34
  6. Step 6: Final answer
    x = 125,555.24

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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.