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Finding the Fourth Proportional to 172,041.60, 257,716.80 and 116,054.40

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Solution

The fourth proportional to 172,041.60, 257,716.80 and 116,054.40 is: 173,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,041.60 : 257,716.80 = 116,054.40 : x
  2. Step 2: Convert to fraction form
    172,041.60/257,716.80 = 116,054.40/x
  3. Step 3: Cross multiply
    172,041.60x = 257,716.80 × 116,054.40
  4. Step 4: Simplify right side
    172,041.60x = 29,909,168,593.92
  5. Step 5: Solve for x
    x = 29,909,168,593.92/172,041.60
  6. Step 6: Final answer
    x = 173,848.47

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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.