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Finding the Fourth Proportional to 183,402.19, 275,104.19 and 83,492.50

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Solution

The fourth proportional to 183,402.19, 275,104.19 and 83,492.50 is: 125,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,402.19 : 275,104.19 = 83,492.50 : x
  2. Step 2: Convert to fraction form
    183,402.19/275,104.19 = 83,492.50/x
  3. Step 3: Cross multiply
    183,402.19x = 275,104.19 × 83,492.50
  4. Step 4: Simplify right side
    183,402.19x = 22,969,136,583.58
  5. Step 5: Solve for x
    x = 22,969,136,583.58/183,402.19
  6. Step 6: Final answer
    x = 125,239.16

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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.