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Finding the Fourth Proportional to 135,156.63, 202,472.51 and 65,085.15

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Solution

The fourth proportional to 135,156.63, 202,472.51 and 65,085.15 is: 97,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,156.63 : 202,472.51 = 65,085.15 : x
  2. Step 2: Convert to fraction form
    135,156.63/202,472.51 = 65,085.15/x
  3. Step 3: Cross multiply
    135,156.63x = 202,472.51 × 65,085.15
  4. Step 4: Simplify right side
    135,156.63x = 13,177,953,358.80
  5. Step 5: Solve for x
    x = 13,177,953,358.80/135,156.63
  6. Step 6: Final answer
    x = 97,501.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.