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Finding the Fourth Proportional to 115,965, 160,031.70 and 65,673.72

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Solution

The fourth proportional to 115,965, 160,031.70 and 65,673.72 is: 90,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,965 : 160,031.70 = 65,673.72 : x
  2. Step 2: Convert to fraction form
    115,965/160,031.70 = 65,673.72/x
  3. Step 3: Cross multiply
    115,965x = 160,031.70 × 65,673.72
  4. Step 4: Simplify right side
    115,965x = 10,509,877,056.92
  5. Step 5: Solve for x
    x = 10,509,877,056.92/115,965
  6. Step 6: Final answer
    x = 90,629.73

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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.