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Finding the Fourth Proportional to 196,223.04, 270,825.12 and 111,348

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Solution

The fourth proportional to 196,223.04, 270,825.12 and 111,348 is: 153,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,223.04 : 270,825.12 = 111,348 : x
  2. Step 2: Convert to fraction form
    196,223.04/270,825.12 = 111,348/x
  3. Step 3: Cross multiply
    196,223.04x = 270,825.12 × 111,348
  4. Step 4: Simplify right side
    196,223.04x = 30,155,835,461.76
  5. Step 5: Solve for x
    x = 30,155,835,461.76/196,223.04
  6. Step 6: Final answer
    x = 153,681.42

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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.