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Finding the Fourth Proportional to 207,269.58, 310,904.37 and 57,509.90

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Solution

The fourth proportional to 207,269.58, 310,904.37 and 57,509.90 is: 86,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,269.58 : 310,904.37 = 57,509.90 : x
  2. Step 2: Convert to fraction form
    207,269.58/310,904.37 = 57,509.90/x
  3. Step 3: Cross multiply
    207,269.58x = 310,904.37 × 57,509.90
  4. Step 4: Simplify right side
    207,269.58x = 17,880,077,673.74
  5. Step 5: Solve for x
    x = 17,880,077,673.74/207,269.58
  6. Step 6: Final answer
    x = 86,264.84

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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.