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Finding the Fourth Proportional to 157,009.41, 216,670.59 and 85,387.79

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Solution

The fourth proportional to 157,009.41, 216,670.59 and 85,387.79 is: 117,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,009.41 : 216,670.59 = 85,387.79 : x
  2. Step 2: Convert to fraction form
    157,009.41/216,670.59 = 85,387.79/x
  3. Step 3: Cross multiply
    157,009.41x = 216,670.59 × 85,387.79
  4. Step 4: Simplify right side
    157,009.41x = 18,501,021,754.74
  5. Step 5: Solve for x
    x = 18,501,021,754.74/157,009.41
  6. Step 6: Final answer
    x = 117,833.84

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