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Finding the Fourth Proportional to 207,298.79, 310,970.41 and 57,539.71

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Solution

The fourth proportional to 207,298.79, 310,970.41 and 57,539.71 is: 86,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,298.79 : 310,970.41 = 57,539.71 : x
  2. Step 2: Convert to fraction form
    207,298.79/310,970.41 = 57,539.71/x
  3. Step 3: Cross multiply
    207,298.79x = 310,970.41 × 57,539.71
  4. Step 4: Simplify right side
    207,298.79x = 17,893,147,454.84
  5. Step 5: Solve for x
    x = 17,893,147,454.84/207,298.79
  6. Step 6: Final answer
    x = 86,315.74

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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.