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Finding the Fourth Proportional to 113,980, 157,288.14 and 65,589.40

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Solution

The fourth proportional to 113,980, 157,288.14 and 65,589.40 is: 90,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,980 : 157,288.14 = 65,589.40 : x
  2. Step 2: Convert to fraction form
    113,980/157,288.14 = 65,589.40/x
  3. Step 3: Cross multiply
    113,980x = 157,288.14 × 65,589.40
  4. Step 4: Simplify right side
    113,980x = 10,316,434,729.72
  5. Step 5: Solve for x
    x = 10,316,434,729.72/113,980
  6. Step 6: Final answer
    x = 90,510.92

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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.