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Finding the Fourth Proportional to 219,055.28, 302,296.19 and 118,453.28

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Solution

The fourth proportional to 219,055.28, 302,296.19 and 118,453.28 is: 163,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,055.28 : 302,296.19 = 118,453.28 : x
  2. Step 2: Convert to fraction form
    219,055.28/302,296.19 = 118,453.28/x
  3. Step 3: Cross multiply
    219,055.28x = 302,296.19 × 118,453.28
  4. Step 4: Simplify right side
    219,055.28x = 35,807,973,133.26
  5. Step 5: Solve for x
    x = 35,807,973,133.26/219,055.28
  6. Step 6: Final answer
    x = 163,465.47

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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.