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Finding the Fourth Proportional to 202,074.48, 278,856.68 and 111,430.40

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Solution

The fourth proportional to 202,074.48, 278,856.68 and 111,430.40 is: 153,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,074.48 : 278,856.68 = 111,430.40 : x
  2. Step 2: Convert to fraction form
    202,074.48/278,856.68 = 111,430.40/x
  3. Step 3: Cross multiply
    202,074.48x = 278,856.68 × 111,430.40
  4. Step 4: Simplify right side
    202,074.48x = 31,073,111,395.07
  5. Step 5: Solve for x
    x = 31,073,111,395.07/202,074.48
  6. Step 6: Final answer
    x = 153,770.59

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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.