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Finding the Fourth Proportional to 229,054, 343,602.87 and 71,240.08

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Solution

The fourth proportional to 229,054, 343,602.87 and 71,240.08 is: 106,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,054 : 343,602.87 = 71,240.08 : x
  2. Step 2: Convert to fraction form
    229,054/343,602.87 = 71,240.08/x
  3. Step 3: Cross multiply
    229,054x = 343,602.87 × 71,240.08
  4. Step 4: Simplify right side
    229,054x = 24,478,295,947.03
  5. Step 5: Solve for x
    x = 24,478,295,947.03/229,054
  6. Step 6: Final answer
    x = 106,866.92

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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.