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Finding the Fourth Proportional to 361,670.51, 542,431.65 and 136,953.43

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Solution

The fourth proportional to 361,670.51, 542,431.65 and 136,953.43 is: 205,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,670.51 : 542,431.65 = 136,953.43 : x
  2. Step 2: Convert to fraction form
    361,670.51/542,431.65 = 136,953.43/x
  3. Step 3: Cross multiply
    361,670.51x = 542,431.65 × 136,953.43
  4. Step 4: Simplify right side
    361,670.51x = 74,287,875,008.06
  5. Step 5: Solve for x
    x = 74,287,875,008.06/361,670.51
  6. Step 6: Final answer
    x = 205,402.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.