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Finding the Fourth Proportional to 65,206.54, 97,865.70 and 64,715.68

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Solution

The fourth proportional to 65,206.54, 97,865.70 and 64,715.68 is: 97,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.54 : 97,865.70 = 64,715.68 : x
  2. Step 2: Convert to fraction form
    65,206.54/97,865.70 = 64,715.68/x
  3. Step 3: Cross multiply
    65,206.54x = 97,865.70 × 64,715.68
  4. Step 4: Simplify right side
    65,206.54x = 6,333,445,324.18
  5. Step 5: Solve for x
    x = 6,333,445,324.18/65,206.54
  6. Step 6: Final answer
    x = 97,128.99

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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.