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Finding the Fourth Proportional to 114,599.28, 171,695.40 and 97,788.72

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Solution

The fourth proportional to 114,599.28, 171,695.40 and 97,788.72 is: 146,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,599.28 : 171,695.40 = 97,788.72 : x
  2. Step 2: Convert to fraction form
    114,599.28/171,695.40 = 97,788.72/x
  3. Step 3: Cross multiply
    114,599.28x = 171,695.40 × 97,788.72
  4. Step 4: Simplify right side
    114,599.28x = 16,789,873,395.89
  5. Step 5: Solve for x
    x = 16,789,873,395.89/114,599.28
  6. Step 6: Final answer
    x = 146,509.41

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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.