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Finding the Fourth Proportional to 210,145.91, 314,956.17 and 135,066.23

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Solution

The fourth proportional to 210,145.91, 314,956.17 and 135,066.23 is: 202,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,145.91 : 314,956.17 = 135,066.23 : x
  2. Step 2: Convert to fraction form
    210,145.91/314,956.17 = 135,066.23/x
  3. Step 3: Cross multiply
    210,145.91x = 314,956.17 × 135,066.23
  4. Step 4: Simplify right side
    210,145.91x = 42,539,942,497.14
  5. Step 5: Solve for x
    x = 42,539,942,497.14/210,145.91
  6. Step 6: Final answer
    x = 202,430.50

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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.