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Finding the Fourth Proportional to 145,709.40, 201,083.94 and 85,285.68

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Solution

The fourth proportional to 145,709.40, 201,083.94 and 85,285.68 is: 117,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,709.40 : 201,083.94 = 85,285.68 : x
  2. Step 2: Convert to fraction form
    145,709.40/201,083.94 = 85,285.68/x
  3. Step 3: Cross multiply
    145,709.40x = 201,083.94 × 85,285.68
  4. Step 4: Simplify right side
    145,709.40x = 17,149,580,559.98
  5. Step 5: Solve for x
    x = 17,149,580,559.98/145,709.40
  6. Step 6: Final answer
    x = 117,697.15

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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.