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Finding the Fourth Proportional to 183,492, 275,284.24 and 52,164

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Solution

The fourth proportional to 183,492, 275,284.24 and 52,164 is: 78,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,492 : 275,284.24 = 52,164 : x
  2. Step 2: Convert to fraction form
    183,492/275,284.24 = 52,164/x
  3. Step 3: Cross multiply
    183,492x = 275,284.24 × 52,164
  4. Step 4: Simplify right side
    183,492x = 14,359,927,095.36
  5. Step 5: Solve for x
    x = 14,359,927,095.36/183,492
  6. Step 6: Final answer
    x = 78,259.15

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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.