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Finding the Fourth Proportional to 151,272, 227,011.68 and 52,776

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Solution

The fourth proportional to 151,272, 227,011.68 and 52,776 is: 79,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,272 : 227,011.68 = 52,776 : x
  2. Step 2: Convert to fraction form
    151,272/227,011.68 = 52,776/x
  3. Step 3: Cross multiply
    151,272x = 227,011.68 × 52,776
  4. Step 4: Simplify right side
    151,272x = 11,980,768,423.68
  5. Step 5: Solve for x
    x = 11,980,768,423.68/151,272
  6. Step 6: Final answer
    x = 79,200.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.