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Finding the Fourth Proportional to 97,256.95, 134,325.31 and 65,370.49

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Solution

The fourth proportional to 97,256.95, 134,325.31 and 65,370.49 is: 90,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,256.95 : 134,325.31 = 65,370.49 : x
  2. Step 2: Convert to fraction form
    97,256.95/134,325.31 = 65,370.49/x
  3. Step 3: Cross multiply
    97,256.95x = 134,325.31 × 65,370.49
  4. Step 4: Simplify right side
    97,256.95x = 8,780,911,896.87
  5. Step 5: Solve for x
    x = 8,780,911,896.87/97,256.95
  6. Step 6: Final answer
    x = 90,285.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.