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Finding the Fourth Proportional to 102,431.40, 153,635.58 and 40,085.16

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Solution

The fourth proportional to 102,431.40, 153,635.58 and 40,085.16 is: 60,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,431.40 : 153,635.58 = 40,085.16 : x
  2. Step 2: Convert to fraction form
    102,431.40/153,635.58 = 40,085.16/x
  3. Step 3: Cross multiply
    102,431.40x = 153,635.58 × 40,085.16
  4. Step 4: Simplify right side
    102,431.40x = 6,158,506,805.99
  5. Step 5: Solve for x
    x = 6,158,506,805.99/102,431.40
  6. Step 6: Final answer
    x = 60,123.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.