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Finding the Fourth Proportional to 311,342.84, 429,663.66 and 184,127.48

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Solution

The fourth proportional to 311,342.84, 429,663.66 and 184,127.48 is: 254,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,342.84 : 429,663.66 = 184,127.48 : x
  2. Step 2: Convert to fraction form
    311,342.84/429,663.66 = 184,127.48/x
  3. Step 3: Cross multiply
    311,342.84x = 429,663.66 × 184,127.48
  4. Step 4: Simplify right side
    311,342.84x = 79,112,886,963.38
  5. Step 5: Solve for x
    x = 79,112,886,963.38/311,342.84
  6. Step 6: Final answer
    x = 254,102.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.