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Finding the Fourth Proportional to 115,430, 159,303.12 and 65,138.72

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Solution

The fourth proportional to 115,430, 159,303.12 and 65,138.72 is: 89,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,430 : 159,303.12 = 65,138.72 : x
  2. Step 2: Convert to fraction form
    115,430/159,303.12 = 65,138.72/x
  3. Step 3: Cross multiply
    115,430x = 159,303.12 × 65,138.72
  4. Step 4: Simplify right side
    115,430x = 10,376,801,328.81
  5. Step 5: Solve for x
    x = 10,376,801,328.81/115,430
  6. Step 6: Final answer
    x = 89,896.92

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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.