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Finding the Fourth Proportional to 110,144, 152,011.68 and 65,432

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Solution

The fourth proportional to 110,144, 152,011.68 and 65,432 is: 90,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,144 : 152,011.68 = 65,432 : x
  2. Step 2: Convert to fraction form
    110,144/152,011.68 = 65,432/x
  3. Step 3: Cross multiply
    110,144x = 152,011.68 × 65,432
  4. Step 4: Simplify right side
    110,144x = 9,946,428,245.76
  5. Step 5: Solve for x
    x = 9,946,428,245.76/110,144
  6. Step 6: Final answer
    x = 90,303.86

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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.