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Finding the Fourth Proportional to 184,223.84, 276,335.82 and 65,888.10

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Solution

The fourth proportional to 184,223.84, 276,335.82 and 65,888.10 is: 98,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,223.84 : 276,335.82 = 65,888.10 : x
  2. Step 2: Convert to fraction form
    184,223.84/276,335.82 = 65,888.10/x
  3. Step 3: Cross multiply
    184,223.84x = 276,335.82 × 65,888.10
  4. Step 4: Simplify right side
    184,223.84x = 18,207,242,141.74
  5. Step 5: Solve for x
    x = 18,207,242,141.74/184,223.84
  6. Step 6: Final answer
    x = 98,832.17

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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.