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Finding the Fourth Proportional to 183,088.80, 274,526.28 and 77,853.60

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Solution

The fourth proportional to 183,088.80, 274,526.28 and 77,853.60 is: 116,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,088.80 : 274,526.28 = 77,853.60 : x
  2. Step 2: Convert to fraction form
    183,088.80/274,526.28 = 77,853.60/x
  3. Step 3: Cross multiply
    183,088.80x = 274,526.28 × 77,853.60
  4. Step 4: Simplify right side
    183,088.80x = 21,372,859,192.61
  5. Step 5: Solve for x
    x = 21,372,859,192.61/183,088.80
  6. Step 6: Final answer
    x = 116,734.94

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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.