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Finding the Fourth Proportional to 257,422.16, 386,074.92 and 91,210.16

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Solution

The fourth proportional to 257,422.16, 386,074.92 and 91,210.16 is: 136,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,422.16 : 386,074.92 = 91,210.16 : x
  2. Step 2: Convert to fraction form
    257,422.16/386,074.92 = 91,210.16/x
  3. Step 3: Cross multiply
    257,422.16x = 386,074.92 × 91,210.16
  4. Step 4: Simplify right side
    257,422.16x = 35,213,955,225.19
  5. Step 5: Solve for x
    x = 35,213,955,225.19/257,422.16
  6. Step 6: Final answer
    x = 136,794.58

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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.