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Finding the Fourth Proportional to 157,509, 236,372.94 and 64,014.84

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Solution

The fourth proportional to 157,509, 236,372.94 and 64,014.84 is: 96,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,509 : 236,372.94 = 64,014.84 : x
  2. Step 2: Convert to fraction form
    157,509/236,372.94 = 64,014.84/x
  3. Step 3: Cross multiply
    157,509x = 236,372.94 × 64,014.84
  4. Step 4: Simplify right side
    157,509x = 15,131,375,934.43
  5. Step 5: Solve for x
    x = 15,131,375,934.43/157,509
  6. Step 6: Final answer
    x = 96,066.74

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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.