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Finding the Fourth Proportional to 157,620.32, 236,187.48 and 77,566.40

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Solution

The fourth proportional to 157,620.32, 236,187.48 and 77,566.40 is: 116,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,620.32 : 236,187.48 = 77,566.40 : x
  2. Step 2: Convert to fraction form
    157,620.32/236,187.48 = 77,566.40/x
  3. Step 3: Cross multiply
    157,620.32x = 236,187.48 × 77,566.40
  4. Step 4: Simplify right side
    157,620.32x = 18,320,212,548.67
  5. Step 5: Solve for x
    x = 18,320,212,548.67/157,620.32
  6. Step 6: Final answer
    x = 116,230.02

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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.