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Finding the Fourth Proportional to 209,457.34, 314,082.12 and 74,501.16

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Solution

The fourth proportional to 209,457.34, 314,082.12 and 74,501.16 is: 111,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,457.34 : 314,082.12 = 74,501.16 : x
  2. Step 2: Convert to fraction form
    209,457.34/314,082.12 = 74,501.16/x
  3. Step 3: Cross multiply
    209,457.34x = 314,082.12 × 74,501.16
  4. Step 4: Simplify right side
    209,457.34x = 23,399,482,275.26
  5. Step 5: Solve for x
    x = 23,399,482,275.26/209,457.34
  6. Step 6: Final answer
    x = 111,714.79

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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.