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Finding the Fourth Proportional to 246,413, 340,030.38 and 138,948.68

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Solution

The fourth proportional to 246,413, 340,030.38 and 138,948.68 is: 191,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,413 : 340,030.38 = 138,948.68 : x
  2. Step 2: Convert to fraction form
    246,413/340,030.38 = 138,948.68/x
  3. Step 3: Cross multiply
    246,413x = 340,030.38 × 138,948.68
  4. Step 4: Simplify right side
    246,413x = 47,246,772,460.90
  5. Step 5: Solve for x
    x = 47,246,772,460.90/246,413
  6. Step 6: Final answer
    x = 191,738.15

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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.