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Finding the Fourth Proportional to 207,950.38, 286,970.96 and 112,457.08

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Solution

The fourth proportional to 207,950.38, 286,970.96 and 112,457.08 is: 155,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,950.38 : 286,970.96 = 112,457.08 : x
  2. Step 2: Convert to fraction form
    207,950.38/286,970.96 = 112,457.08/x
  3. Step 3: Cross multiply
    207,950.38x = 286,970.96 × 112,457.08
  4. Step 4: Simplify right side
    207,950.38x = 32,271,915,995.52
  5. Step 5: Solve for x
    x = 32,271,915,995.52/207,950.38
  6. Step 6: Final answer
    x = 155,190.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.