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Finding the Fourth Proportional to 145,803.70, 201,213.36 and 85,368.68

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Solution

The fourth proportional to 145,803.70, 201,213.36 and 85,368.68 is: 117,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,803.70 : 201,213.36 = 85,368.68 : x
  2. Step 2: Convert to fraction form
    145,803.70/201,213.36 = 85,368.68/x
  3. Step 3: Cross multiply
    145,803.70x = 201,213.36 × 85,368.68
  4. Step 4: Simplify right side
    145,803.70x = 17,177,318,941.56
  5. Step 5: Solve for x
    x = 17,177,318,941.56/145,803.70
  6. Step 6: Final answer
    x = 117,811.27

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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.