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Finding the Fourth Proportional to 207,303.29, 310,977.16 and 57,544.22

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Solution

The fourth proportional to 207,303.29, 310,977.16 and 57,544.22 is: 86,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,303.29 : 310,977.16 = 57,544.22 : x
  2. Step 2: Convert to fraction form
    207,303.29/310,977.16 = 57,544.22/x
  3. Step 3: Cross multiply
    207,303.29x = 310,977.16 × 57,544.22
  4. Step 4: Simplify right side
    207,303.29x = 17,894,936,411.27
  5. Step 5: Solve for x
    x = 17,894,936,411.27/207,303.29
  6. Step 6: Final answer
    x = 86,322.49

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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.