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Finding the Fourth Proportional to 105,500.64, 158,315.52 and 95,657.28

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Solution

The fourth proportional to 105,500.64, 158,315.52 and 95,657.28 is: 143,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,500.64 : 158,315.52 = 95,657.28 : x
  2. Step 2: Convert to fraction form
    105,500.64/158,315.52 = 95,657.28/x
  3. Step 3: Cross multiply
    105,500.64x = 158,315.52 × 95,657.28
  4. Step 4: Simplify right side
    105,500.64x = 15,144,032,024.99
  5. Step 5: Solve for x
    x = 15,144,032,024.99/105,500.64
  6. Step 6: Final answer
    x = 143,544.46

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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.