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Finding the Fourth Proportional to 147,404.87, 203,419.40 and 83,746.16

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Solution

The fourth proportional to 147,404.87, 203,419.40 and 83,746.16 is: 115,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,404.87 : 203,419.40 = 83,746.16 : x
  2. Step 2: Convert to fraction form
    147,404.87/203,419.40 = 83,746.16/x
  3. Step 3: Cross multiply
    147,404.87x = 203,419.40 × 83,746.16
  4. Step 4: Simplify right side
    147,404.87x = 17,035,592,183.68
  5. Step 5: Solve for x
    x = 17,035,592,183.68/147,404.87
  6. Step 6: Final answer
    x = 115,570.08

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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.