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Finding the Fourth Proportional to 145,741.26, 201,123.34 and 84,499.32

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Solution

The fourth proportional to 145,741.26, 201,123.34 and 84,499.32 is: 116,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,741.26 : 201,123.34 = 84,499.32 : x
  2. Step 2: Convert to fraction form
    145,741.26/201,123.34 = 84,499.32/x
  3. Step 3: Cross multiply
    145,741.26x = 201,123.34 × 84,499.32
  4. Step 4: Simplify right side
    145,741.26x = 16,994,784,877.77
  5. Step 5: Solve for x
    x = 16,994,784,877.77/145,741.26
  6. Step 6: Final answer
    x = 116,609.29

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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.