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Finding the Fourth Proportional to 209,814.60, 314,753.18 and 74,868.16

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Solution

The fourth proportional to 209,814.60, 314,753.18 and 74,868.16 is: 112,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,814.60 : 314,753.18 = 74,868.16 : x
  2. Step 2: Convert to fraction form
    209,814.60/314,753.18 = 74,868.16/x
  3. Step 3: Cross multiply
    209,814.60x = 314,753.18 × 74,868.16
  4. Step 4: Simplify right side
    209,814.60x = 23,564,991,440.75
  5. Step 5: Solve for x
    x = 23,564,991,440.75/209,814.60
  6. Step 6: Final answer
    x = 112,313.40

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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.