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Finding the Fourth Proportional to 229,133.60, 343,696.61 and 94,170.32

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Solution

The fourth proportional to 229,133.60, 343,696.61 and 94,170.32 is: 141,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,133.60 : 343,696.61 = 94,170.32 : x
  2. Step 2: Convert to fraction form
    229,133.60/343,696.61 = 94,170.32/x
  3. Step 3: Cross multiply
    229,133.60x = 343,696.61 × 94,170.32
  4. Step 4: Simplify right side
    229,133.60x = 32,366,018,028.13
  5. Step 5: Solve for x
    x = 32,366,018,028.13/229,133.60
  6. Step 6: Final answer
    x = 141,253.92

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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.