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Finding the Fourth Proportional to 115,265.64, 172,898.46 and 59,745

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Solution

The fourth proportional to 115,265.64, 172,898.46 and 59,745 is: 89,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,265.64 : 172,898.46 = 59,745 : x
  2. Step 2: Convert to fraction form
    115,265.64/172,898.46 = 59,745/x
  3. Step 3: Cross multiply
    115,265.64x = 172,898.46 × 59,745
  4. Step 4: Simplify right side
    115,265.64x = 10,329,818,492.70
  5. Step 5: Solve for x
    x = 10,329,818,492.70/115,265.64
  6. Step 6: Final answer
    x = 89,617.50

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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.