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Finding the Fourth Proportional to 208,014.99, 286,969.50 and 121,930.32

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Solution

The fourth proportional to 208,014.99, 286,969.50 and 121,930.32 is: 168,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,014.99 : 286,969.50 = 121,930.32 : x
  2. Step 2: Convert to fraction form
    208,014.99/286,969.50 = 121,930.32/x
  3. Step 3: Cross multiply
    208,014.99x = 286,969.50 × 121,930.32
  4. Step 4: Simplify right side
    208,014.99x = 34,990,284,041.38
  5. Step 5: Solve for x
    x = 34,990,284,041.38/208,014.99
  6. Step 6: Final answer
    x = 168,210.40

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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.