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Finding the Fourth Proportional to 213,030.30, 293,913.14 and 141,424.14

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Solution

The fourth proportional to 213,030.30, 293,913.14 and 141,424.14 is: 195,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,030.30 : 293,913.14 = 141,424.14 : x
  2. Step 2: Convert to fraction form
    213,030.30/293,913.14 = 141,424.14/x
  3. Step 3: Cross multiply
    213,030.30x = 293,913.14 × 141,424.14
  4. Step 4: Simplify right side
    213,030.30x = 41,566,413,059.20
  5. Step 5: Solve for x
    x = 41,566,413,059.20/213,030.30
  6. Step 6: Final answer
    x = 195,119.72

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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.