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Finding the Fourth Proportional to 130,666.10, 195,797.55 and 97,229.30

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Solution

The fourth proportional to 130,666.10, 195,797.55 and 97,229.30 is: 145,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,666.10 : 195,797.55 = 97,229.30 : x
  2. Step 2: Convert to fraction form
    130,666.10/195,797.55 = 97,229.30/x
  3. Step 3: Cross multiply
    130,666.10x = 195,797.55 × 97,229.30
  4. Step 4: Simplify right side
    130,666.10x = 19,037,258,728.22
  5. Step 5: Solve for x
    x = 19,037,258,728.22/130,666.10
  6. Step 6: Final answer
    x = 145,693.94

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