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Finding the Fourth Proportional to 115,594, 159,532.70 and 65,296.24

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Solution

The fourth proportional to 115,594, 159,532.70 and 65,296.24 is: 90,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,594 : 159,532.70 = 65,296.24 : x
  2. Step 2: Convert to fraction form
    115,594/159,532.70 = 65,296.24/x
  3. Step 3: Cross multiply
    115,594x = 159,532.70 × 65,296.24
  4. Step 4: Simplify right side
    115,594x = 10,416,885,467.05
  5. Step 5: Solve for x
    x = 10,416,885,467.05/115,594
  6. Step 6: Final answer
    x = 90,116.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.