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Finding the Fourth Proportional to 219,503.28, 302,914.98 and 118,901.28

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Solution

The fourth proportional to 219,503.28, 302,914.98 and 118,901.28 is: 164,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,503.28 : 302,914.98 = 118,901.28 : x
  2. Step 2: Convert to fraction form
    219,503.28/302,914.98 = 118,901.28/x
  3. Step 3: Cross multiply
    219,503.28x = 302,914.98 × 118,901.28
  4. Step 4: Simplify right side
    219,503.28x = 36,016,978,853.17
  5. Step 5: Solve for x
    x = 36,016,978,853.17/219,503.28
  6. Step 6: Final answer
    x = 164,084.01

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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.