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Finding the Fourth Proportional to 272,056.50, 375,437.97 and 152,824.50

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Solution

The fourth proportional to 272,056.50, 375,437.97 and 152,824.50 is: 210,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,056.50 : 375,437.97 = 152,824.50 : x
  2. Step 2: Convert to fraction form
    272,056.50/375,437.97 = 152,824.50/x
  3. Step 3: Cross multiply
    272,056.50x = 375,437.97 × 152,824.50
  4. Step 4: Simplify right side
    272,056.50x = 57,376,120,046.27
  5. Step 5: Solve for x
    x = 57,376,120,046.27/272,056.50
  6. Step 6: Final answer
    x = 210,897.81

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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.