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Finding the Fourth Proportional to 229,014.40, 316,041.77 and 127,046.54

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Solution

The fourth proportional to 229,014.40, 316,041.77 and 127,046.54 is: 175,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,014.40 : 316,041.77 = 127,046.54 : x
  2. Step 2: Convert to fraction form
    229,014.40/316,041.77 = 127,046.54/x
  3. Step 3: Cross multiply
    229,014.40x = 316,041.77 × 127,046.54
  4. Step 4: Simplify right side
    229,014.40x = 40,152,013,373.98
  5. Step 5: Solve for x
    x = 40,152,013,373.98/229,014.40
  6. Step 6: Final answer
    x = 175,325.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.