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Finding the Fourth Proportional to 115,096.40, 172,669.24 and 65,200.08

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Solution

The fourth proportional to 115,096.40, 172,669.24 and 65,200.08 is: 97,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,096.40 : 172,669.24 = 65,200.08 : x
  2. Step 2: Convert to fraction form
    115,096.40/172,669.24 = 65,200.08/x
  3. Step 3: Cross multiply
    115,096.40x = 172,669.24 × 65,200.08
  4. Step 4: Simplify right side
    115,096.40x = 11,258,048,261.54
  5. Step 5: Solve for x
    x = 11,258,048,261.54/115,096.40
  6. Step 6: Final answer
    x = 97,814.08

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1.5x scale

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.