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Finding the Fourth Proportional to 110,683, 152,742.54 and 65,971

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Solution

The fourth proportional to 110,683, 152,742.54 and 65,971 is: 91,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,683 : 152,742.54 = 65,971 : x
  2. Step 2: Convert to fraction form
    110,683/152,742.54 = 65,971/x
  3. Step 3: Cross multiply
    110,683x = 152,742.54 × 65,971
  4. Step 4: Simplify right side
    110,683x = 10,076,578,106.34
  5. Step 5: Solve for x
    x = 10,076,578,106.34/110,683
  6. Step 6: Final answer
    x = 91,039.98

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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.