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Finding the Fourth Proportional to 272,152.82, 408,415 and 94,658.06

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Solution

The fourth proportional to 272,152.82, 408,415 and 94,658.06 is: 142,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,152.82 : 408,415 = 94,658.06 : x
  2. Step 2: Convert to fraction form
    272,152.82/408,415 = 94,658.06/x
  3. Step 3: Cross multiply
    272,152.82x = 408,415 × 94,658.06
  4. Step 4: Simplify right side
    272,152.82x = 38,659,771,574.90
  5. Step 5: Solve for x
    x = 38,659,771,574.90/272,152.82
  6. Step 6: Final answer
    x = 142,051.70

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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.