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Finding the Fourth Proportional to 218,969.42, 302,178.02 and 128,307.33

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Solution

The fourth proportional to 218,969.42, 302,178.02 and 128,307.33 is: 177,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,969.42 : 302,178.02 = 128,307.33 : x
  2. Step 2: Convert to fraction form
    218,969.42/302,178.02 = 128,307.33/x
  3. Step 3: Cross multiply
    218,969.42x = 302,178.02 × 128,307.33
  4. Step 4: Simplify right side
    218,969.42x = 38,771,654,289.35
  5. Step 5: Solve for x
    x = 38,771,654,289.35/218,969.42
  6. Step 6: Final answer
    x = 177,064.25

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