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Finding the Fourth Proportional to 183,987.64, 276,088.56 and 77,363.88

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Solution

The fourth proportional to 183,987.64, 276,088.56 and 77,363.88 is: 116,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,987.64 : 276,088.56 = 77,363.88 : x
  2. Step 2: Convert to fraction form
    183,987.64/276,088.56 = 77,363.88/x
  3. Step 3: Cross multiply
    183,987.64x = 276,088.56 × 77,363.88
  4. Step 4: Simplify right side
    183,987.64x = 21,359,282,225.21
  5. Step 5: Solve for x
    x = 21,359,282,225.21/183,987.64
  6. Step 6: Final answer
    x = 116,090.85

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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.